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Finding the Fourth Proportional to 532.33, 793.71 and 512.03

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Solution

The fourth proportional to 532.33, 793.71 and 512.03 is: 763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.33 : 793.71 = 512.03 : x
  2. Step 2: Convert to fraction form
    532.33/793.71 = 512.03/x
  3. Step 3: Cross multiply
    532.33x = 793.71 × 512.03
  4. Step 4: Simplify right side
    532.33x = 406,397.44
  5. Step 5: Solve for x
    x = 406,397.44/532.33
  6. Step 6: Final answer
    x = 763.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.