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Finding the Fourth Proportional to 416.53, 624.61 and 142.64

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Solution

The fourth proportional to 416.53, 624.61 and 142.64 is: 213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 624.61 = 142.64 : x
  2. Step 2: Convert to fraction form
    416.53/624.61 = 142.64/x
  3. Step 3: Cross multiply
    416.53x = 624.61 × 142.64
  4. Step 4: Simplify right side
    416.53x = 89,096.48
  5. Step 5: Solve for x
    x = 89,096.48/416.53
  6. Step 6: Final answer
    x = 213.90

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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.