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Finding the Fourth Proportional to 463.32, 693.82 and 413.71

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Solution

The fourth proportional to 463.32, 693.82 and 413.71 is: 619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 693.82 = 413.71 : x
  2. Step 2: Convert to fraction form
    463.32/693.82 = 413.71/x
  3. Step 3: Cross multiply
    463.32x = 693.82 × 413.71
  4. Step 4: Simplify right side
    463.32x = 287,036.73
  5. Step 5: Solve for x
    x = 287,036.73/463.32
  6. Step 6: Final answer
    x = 619.52

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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.