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Finding the Fourth Proportional to 529.60, 731.84 and 477.12

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Solution

The fourth proportional to 529.60, 731.84 and 477.12 is: 659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.60 : 731.84 = 477.12 : x
  2. Step 2: Convert to fraction form
    529.60/731.84 = 477.12/x
  3. Step 3: Cross multiply
    529.60x = 731.84 × 477.12
  4. Step 4: Simplify right side
    529.60x = 349,175.50
  5. Step 5: Solve for x
    x = 349,175.50/529.60
  6. Step 6: Final answer
    x = 659.32

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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.