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Finding the Fourth Proportional to 532.68, 794.85 and 493.80

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Solution

The fourth proportional to 532.68, 794.85 and 493.80 is: 736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.68 : 794.85 = 493.80 : x
  2. Step 2: Convert to fraction form
    532.68/794.85 = 493.80/x
  3. Step 3: Cross multiply
    532.68x = 794.85 × 493.80
  4. Step 4: Simplify right side
    532.68x = 392,496.93
  5. Step 5: Solve for x
    x = 392,496.93/532.68
  6. Step 6: Final answer
    x = 736.83

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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.