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Finding the Fourth Proportional to 532.68, 793.67 and 502.84

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Solution

The fourth proportional to 532.68, 793.67 and 502.84 is: 749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.68 : 793.67 = 502.84 : x
  2. Step 2: Convert to fraction form
    532.68/793.67 = 502.84/x
  3. Step 3: Cross multiply
    532.68x = 793.67 × 502.84
  4. Step 4: Simplify right side
    532.68x = 399,082.54
  5. Step 5: Solve for x
    x = 399,082.54/532.68
  6. Step 6: Final answer
    x = 749.20

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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.