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Finding the Fourth Proportional to 416.39, 624.55 and 142.46

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Solution

The fourth proportional to 416.39, 624.55 and 142.46 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.39 : 624.55 = 142.46 : x
  2. Step 2: Convert to fraction form
    416.39/624.55 = 142.46/x
  3. Step 3: Cross multiply
    416.39x = 624.55 × 142.46
  4. Step 4: Simplify right side
    416.39x = 88,973.39
  5. Step 5: Solve for x
    x = 88,973.39/416.39
  6. Step 6: Final answer
    x = 213.68

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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.