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Finding the Fourth Proportional to 552.77, 762.82 and 304.09

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Solution

The fourth proportional to 552.77, 762.82 and 304.09 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.77 : 762.82 = 304.09 : x
  2. Step 2: Convert to fraction form
    552.77/762.82 = 304.09/x
  3. Step 3: Cross multiply
    552.77x = 762.82 × 304.09
  4. Step 4: Simplify right side
    552.77x = 231,964.01
  5. Step 5: Solve for x
    x = 231,964.01/552.77
  6. Step 6: Final answer
    x = 419.64

Related Problems

Find fourth proportional to 276.38, 381.41 and 152.04
Half scale
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Double scale
Find fourth proportional to 553.77, 764.20 and 305.09
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.