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Finding the Fourth Proportional to 413.13, 618.60 and 239.64

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Solution

The fourth proportional to 413.13, 618.60 and 239.64 is: 358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 618.60 = 239.64 : x
  2. Step 2: Convert to fraction form
    413.13/618.60 = 239.64/x
  3. Step 3: Cross multiply
    413.13x = 618.60 × 239.64
  4. Step 4: Simplify right side
    413.13x = 148,241.30
  5. Step 5: Solve for x
    x = 148,241.30/413.13
  6. Step 6: Final answer
    x = 358.82

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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.