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Finding the Fourth Proportional to 529.59, 731.18 and 405.89

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Solution

The fourth proportional to 529.59, 731.18 and 405.89 is: 560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.59 : 731.18 = 405.89 : x
  2. Step 2: Convert to fraction form
    529.59/731.18 = 405.89/x
  3. Step 3: Cross multiply
    529.59x = 731.18 × 405.89
  4. Step 4: Simplify right side
    529.59x = 296,782.86
  5. Step 5: Solve for x
    x = 296,782.86/529.59
  6. Step 6: Final answer
    x = 560.40

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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.