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Finding the Fourth Proportional to 546.74, 754.25 and 413.72

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Solution

The fourth proportional to 546.74, 754.25 and 413.72 is: 570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.74 : 754.25 = 413.72 : x
  2. Step 2: Convert to fraction form
    546.74/754.25 = 413.72/x
  3. Step 3: Cross multiply
    546.74x = 754.25 × 413.72
  4. Step 4: Simplify right side
    546.74x = 312,042.47
  5. Step 5: Solve for x
    x = 312,042.47/546.74
  6. Step 6: Final answer
    x = 570.74

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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.