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Finding the Fourth Proportional to 413.02, 619.53 and 124.46

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Solution

The fourth proportional to 413.02, 619.53 and 124.46 is: 186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.02 : 619.53 = 124.46 : x
  2. Step 2: Convert to fraction form
    413.02/619.53 = 124.46/x
  3. Step 3: Cross multiply
    413.02x = 619.53 × 124.46
  4. Step 4: Simplify right side
    413.02x = 77,105.46
  5. Step 5: Solve for x
    x = 77,105.46/413.02
  6. Step 6: Final answer
    x = 186.69

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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.