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Finding the Fourth Proportional to 424.11, 635.24 and 413.78

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Solution

The fourth proportional to 424.11, 635.24 and 413.78 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.11 : 635.24 = 413.78 : x
  2. Step 2: Convert to fraction form
    424.11/635.24 = 413.78/x
  3. Step 3: Cross multiply
    424.11x = 635.24 × 413.78
  4. Step 4: Simplify right side
    424.11x = 262,849.61
  5. Step 5: Solve for x
    x = 262,849.61/424.11
  6. Step 6: Final answer
    x = 619.77

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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.