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Finding the Fourth Proportional to 413.56, 617.24 and 406.72

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Solution

The fourth proportional to 413.56, 617.24 and 406.72 is: 607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.56 : 617.24 = 406.72 : x
  2. Step 2: Convert to fraction form
    413.56/617.24 = 406.72/x
  3. Step 3: Cross multiply
    413.56x = 617.24 × 406.72
  4. Step 4: Simplify right side
    413.56x = 251,044.21
  5. Step 5: Solve for x
    x = 251,044.21/413.56
  6. Step 6: Final answer
    x = 607.04

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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.