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Finding the Fourth Proportional to 588.12, 807.12 and 532.74

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Solution

The fourth proportional to 588.12, 807.12 and 532.74 is: 731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 807.12 = 532.74 : x
  2. Step 2: Convert to fraction form
    588.12/807.12 = 532.74/x
  3. Step 3: Cross multiply
    588.12x = 807.12 × 532.74
  4. Step 4: Simplify right side
    588.12x = 429,985.11
  5. Step 5: Solve for x
    x = 429,985.11/588.12
  6. Step 6: Final answer
    x = 731.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.