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Finding the Fourth Proportional to 529.90, 731.24 and 297.02

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Solution

The fourth proportional to 529.90, 731.24 and 297.02 is: 409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.90 : 731.24 = 297.02 : x
  2. Step 2: Convert to fraction form
    529.90/731.24 = 297.02/x
  3. Step 3: Cross multiply
    529.90x = 731.24 × 297.02
  4. Step 4: Simplify right side
    529.90x = 217,192.90
  5. Step 5: Solve for x
    x = 217,192.90/529.90
  6. Step 6: Final answer
    x = 409.88

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