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Finding the Fourth Proportional to 537.71, 742.40 and 413.15

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Solution

The fourth proportional to 537.71, 742.40 and 413.15 is: 570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.71 : 742.40 = 413.15 : x
  2. Step 2: Convert to fraction form
    537.71/742.40 = 413.15/x
  3. Step 3: Cross multiply
    537.71x = 742.40 × 413.15
  4. Step 4: Simplify right side
    537.71x = 306,716.78
  5. Step 5: Solve for x
    x = 306,716.78/537.71
  6. Step 6: Final answer
    x = 570.42

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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.