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Finding the Fourth Proportional to 467.72, 698.10 and 413.04

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Solution

The fourth proportional to 467.72, 698.10 and 413.04 is: 616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.72 : 698.10 = 413.04 : x
  2. Step 2: Convert to fraction form
    467.72/698.10 = 413.04/x
  3. Step 3: Cross multiply
    467.72x = 698.10 × 413.04
  4. Step 4: Simplify right side
    467.72x = 288,343.22
  5. Step 5: Solve for x
    x = 288,343.22/467.72
  6. Step 6: Final answer
    x = 616.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.