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Finding the Fourth Proportional to 588.37, 807.47 and 532.99

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Solution

The fourth proportional to 588.37, 807.47 and 532.99 is: 731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.37 : 807.47 = 532.99 : x
  2. Step 2: Convert to fraction form
    588.37/807.47 = 532.99/x
  3. Step 3: Cross multiply
    588.37x = 807.47 × 532.99
  4. Step 4: Simplify right side
    588.37x = 430,373.44
  5. Step 5: Solve for x
    x = 430,373.44/588.37
  6. Step 6: Final answer
    x = 731.47

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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.