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Finding the Fourth Proportional to 416.40, 624.64 and 142.56

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Solution

The fourth proportional to 416.40, 624.64 and 142.56 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 624.64 = 142.56 : x
  2. Step 2: Convert to fraction form
    416.40/624.64 = 142.56/x
  3. Step 3: Cross multiply
    416.40x = 624.64 × 142.56
  4. Step 4: Simplify right side
    416.40x = 89,048.68
  5. Step 5: Solve for x
    x = 89,048.68/416.40
  6. Step 6: Final answer
    x = 213.85

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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.