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Finding the Fourth Proportional to 529.88, 731.49 and 353.14

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Solution

The fourth proportional to 529.88, 731.49 and 353.14 is: 487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.88 : 731.49 = 353.14 : x
  2. Step 2: Convert to fraction form
    529.88/731.49 = 353.14/x
  3. Step 3: Cross multiply
    529.88x = 731.49 × 353.14
  4. Step 4: Simplify right side
    529.88x = 258,314.72
  5. Step 5: Solve for x
    x = 258,314.72/529.88
  6. Step 6: Final answer
    x = 487.50

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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.