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Finding the Fourth Proportional to 527.42, 728.52 and 402.32

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Solution

The fourth proportional to 527.42, 728.52 and 402.32 is: 555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.42 : 728.52 = 402.32 : x
  2. Step 2: Convert to fraction form
    527.42/728.52 = 402.32/x
  3. Step 3: Cross multiply
    527.42x = 728.52 × 402.32
  4. Step 4: Simplify right side
    527.42x = 293,098.17
  5. Step 5: Solve for x
    x = 293,098.17/527.42
  6. Step 6: Final answer
    x = 555.72

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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.