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Finding the Fourth Proportional to 529.62, 731.07 and 333.14

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Solution

The fourth proportional to 529.62, 731.07 and 333.14 is: 459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.62 : 731.07 = 333.14 : x
  2. Step 2: Convert to fraction form
    529.62/731.07 = 333.14/x
  3. Step 3: Cross multiply
    529.62x = 731.07 × 333.14
  4. Step 4: Simplify right side
    529.62x = 243,548.66
  5. Step 5: Solve for x
    x = 243,548.66/529.62
  6. Step 6: Final answer
    x = 459.86

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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.