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Finding the Fourth Proportional to 416.35, 624.41 and 123.78

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Solution

The fourth proportional to 416.35, 624.41 and 123.78 is: 185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.35 : 624.41 = 123.78 : x
  2. Step 2: Convert to fraction form
    416.35/624.41 = 123.78/x
  3. Step 3: Cross multiply
    416.35x = 624.41 × 123.78
  4. Step 4: Simplify right side
    416.35x = 77,288.61
  5. Step 5: Solve for x
    x = 77,288.61/416.35
  6. Step 6: Final answer
    x = 185.64

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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.