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Finding the Fourth Proportional to 546.08, 752.79 and 414.86

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Solution

The fourth proportional to 546.08, 752.79 and 414.86 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.08 : 752.79 = 414.86 : x
  2. Step 2: Convert to fraction form
    546.08/752.79 = 414.86/x
  3. Step 3: Cross multiply
    546.08x = 752.79 × 414.86
  4. Step 4: Simplify right side
    546.08x = 312,296.62
  5. Step 5: Solve for x
    x = 312,296.62/546.08
  6. Step 6: Final answer
    x = 571.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.