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Finding the Fourth Proportional to 537.92, 742.66 and 413.35

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Solution

The fourth proportional to 537.92, 742.66 and 413.35 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.92 : 742.66 = 413.35 : x
  2. Step 2: Convert to fraction form
    537.92/742.66 = 413.35/x
  3. Step 3: Cross multiply
    537.92x = 742.66 × 413.35
  4. Step 4: Simplify right side
    537.92x = 306,978.51
  5. Step 5: Solve for x
    x = 306,978.51/537.92
  6. Step 6: Final answer
    x = 570.68

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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.