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Finding the Fourth Proportional to 504.75, 696.20 and 355.68

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Solution

The fourth proportional to 504.75, 696.20 and 355.68 is: 490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.75 : 696.20 = 355.68 : x
  2. Step 2: Convert to fraction form
    504.75/696.20 = 355.68/x
  3. Step 3: Cross multiply
    504.75x = 696.20 × 355.68
  4. Step 4: Simplify right side
    504.75x = 247,622.64
  5. Step 5: Solve for x
    x = 247,622.64/504.75
  6. Step 6: Final answer
    x = 490.58

Related Problems

Find fourth proportional to 252.38, 348.10 and 177.84
Half scale
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Double scale
Find fourth proportional to 505.75, 697.57 and 356.68
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.