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Finding the Fourth Proportional to 416.09, 624.25 and 123.59

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Solution

The fourth proportional to 416.09, 624.25 and 123.59 is: 185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.09 : 624.25 = 123.59 : x
  2. Step 2: Convert to fraction form
    416.09/624.25 = 123.59/x
  3. Step 3: Cross multiply
    416.09x = 624.25 × 123.59
  4. Step 4: Simplify right side
    416.09x = 77,149.26
  5. Step 5: Solve for x
    x = 77,149.26/416.09
  6. Step 6: Final answer
    x = 185.42

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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.