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Finding the Fourth Proportional to 413.12, 619.64 and 124.48

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Solution

The fourth proportional to 413.12, 619.64 and 124.48 is: 186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.12 : 619.64 = 124.48 : x
  2. Step 2: Convert to fraction form
    413.12/619.64 = 124.48/x
  3. Step 3: Cross multiply
    413.12x = 619.64 × 124.48
  4. Step 4: Simplify right side
    413.12x = 77,132.79
  5. Step 5: Solve for x
    x = 77,132.79/413.12
  6. Step 6: Final answer
    x = 186.71

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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.