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Finding the Fourth Proportional to 416.39, 624.48 and 123.82

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Solution

The fourth proportional to 416.39, 624.48 and 123.82 is: 185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.39 : 624.48 = 123.82 : x
  2. Step 2: Convert to fraction form
    416.39/624.48 = 123.82/x
  3. Step 3: Cross multiply
    416.39x = 624.48 × 123.82
  4. Step 4: Simplify right side
    416.39x = 77,321.25
  5. Step 5: Solve for x
    x = 77,321.25/416.39
  6. Step 6: Final answer
    x = 185.69

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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.