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Finding the Fourth Proportional to 546.13, 818.25 and 391.30

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Solution

The fourth proportional to 546.13, 818.25 and 391.30 is: 586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.13 : 818.25 = 391.30 : x
  2. Step 2: Convert to fraction form
    546.13/818.25 = 391.30/x
  3. Step 3: Cross multiply
    546.13x = 818.25 × 391.30
  4. Step 4: Simplify right side
    546.13x = 320,177.71
  5. Step 5: Solve for x
    x = 320,177.71/546.13
  6. Step 6: Final answer
    x = 586.27

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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.