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Finding the Fourth Proportional to 546.29, 818.82 and 237.68

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Solution

The fourth proportional to 546.29, 818.82 and 237.68 is: 356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.29 : 818.82 = 237.68 : x
  2. Step 2: Convert to fraction form
    546.29/818.82 = 237.68/x
  3. Step 3: Cross multiply
    546.29x = 818.82 × 237.68
  4. Step 4: Simplify right side
    546.29x = 194,613.04
  5. Step 5: Solve for x
    x = 194,613.04/546.29
  6. Step 6: Final answer
    x = 356.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.