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Finding the Fourth Proportional to 413.76, 617.28 and 397.44

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Solution

The fourth proportional to 413.76, 617.28 and 397.44 is: 592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 617.28 = 397.44 : x
  2. Step 2: Convert to fraction form
    413.76/617.28 = 397.44/x
  3. Step 3: Cross multiply
    413.76x = 617.28 × 397.44
  4. Step 4: Simplify right side
    413.76x = 245,331.76
  5. Step 5: Solve for x
    x = 245,331.76/413.76
  6. Step 6: Final answer
    x = 592.93

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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.