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Finding the Fourth Proportional to 532.59, 794.96 and 494.55

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Solution

The fourth proportional to 532.59, 794.96 and 494.55 is: 738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.59 : 794.96 = 494.55 : x
  2. Step 2: Convert to fraction form
    532.59/794.96 = 494.55/x
  3. Step 3: Cross multiply
    532.59x = 794.96 × 494.55
  4. Step 4: Simplify right side
    532.59x = 393,147.47
  5. Step 5: Solve for x
    x = 393,147.47/532.59
  6. Step 6: Final answer
    x = 738.18

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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.