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Finding the Fourth Proportional to 467.20, 697.37 and 413.16

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Solution

The fourth proportional to 467.20, 697.37 and 413.16 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.20 : 697.37 = 413.16 : x
  2. Step 2: Convert to fraction form
    467.20/697.37 = 413.16/x
  3. Step 3: Cross multiply
    467.20x = 697.37 × 413.16
  4. Step 4: Simplify right side
    467.20x = 288,125.39
  5. Step 5: Solve for x
    x = 288,125.39/467.20
  6. Step 6: Final answer
    x = 616.71

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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.