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Finding the Fourth Proportional to 424.20, 632.44 and 413.36

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Solution

The fourth proportional to 424.20, 632.44 and 413.36 is: 616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.20 : 632.44 = 413.36 : x
  2. Step 2: Convert to fraction form
    424.20/632.44 = 413.36/x
  3. Step 3: Cross multiply
    424.20x = 632.44 × 413.36
  4. Step 4: Simplify right side
    424.20x = 261,425.40
  5. Step 5: Solve for x
    x = 261,425.40/424.20
  6. Step 6: Final answer
    x = 616.28

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