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Finding the Fourth Proportional to 504.77, 696.57 and 283.74

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Solution

The fourth proportional to 504.77, 696.57 and 283.74 is: 391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.77 : 696.57 = 283.74 : x
  2. Step 2: Convert to fraction form
    504.77/696.57 = 283.74/x
  3. Step 3: Cross multiply
    504.77x = 696.57 × 283.74
  4. Step 4: Simplify right side
    504.77x = 197,646.51
  5. Step 5: Solve for x
    x = 197,646.51/504.77
  6. Step 6: Final answer
    x = 391.56

Related Problems

Find fourth proportional to 252.38, 348.29 and 141.87
Half scale
Find fourth proportional to 1,009.54, 1,393.14 and 567.49
Double scale
Find fourth proportional to 505.77, 697.95 and 284.74
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.