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Finding the Fourth Proportional to 461.70, 691.20 and 413.10

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Solution

The fourth proportional to 461.70, 691.20 and 413.10 is: 618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.70 : 691.20 = 413.10 : x
  2. Step 2: Convert to fraction form
    461.70/691.20 = 413.10/x
  3. Step 3: Cross multiply
    461.70x = 691.20 × 413.10
  4. Step 4: Simplify right side
    461.70x = 285,534.72
  5. Step 5: Solve for x
    x = 285,534.72/461.70
  6. Step 6: Final answer
    x = 618.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.