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Finding the Fourth Proportional to 537.67, 742.34 and 413.10

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Solution

The fourth proportional to 537.67, 742.34 and 413.10 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.67 : 742.34 = 413.10 : x
  2. Step 2: Convert to fraction form
    537.67/742.34 = 413.10/x
  3. Step 3: Cross multiply
    537.67x = 742.34 × 413.10
  4. Step 4: Simplify right side
    537.67x = 306,660.65
  5. Step 5: Solve for x
    x = 306,660.65/537.67
  6. Step 6: Final answer
    x = 570.35

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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.