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Finding the Fourth Proportional to 413.73, 621.17 and 231.24

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Solution

The fourth proportional to 413.73, 621.17 and 231.24 is: 347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.73 : 621.17 = 231.24 : x
  2. Step 2: Convert to fraction form
    413.73/621.17 = 231.24/x
  3. Step 3: Cross multiply
    413.73x = 621.17 × 231.24
  4. Step 4: Simplify right side
    413.73x = 143,638.19
  5. Step 5: Solve for x
    x = 143,638.19/413.73
  6. Step 6: Final answer
    x = 347.18

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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.