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Finding the Fourth Proportional to 624.60, 862.20 and 456.71

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Solution

The fourth proportional to 624.60, 862.20 and 456.71 is: 630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 862.20 = 456.71 : x
  2. Step 2: Convert to fraction form
    624.60/862.20 = 456.71/x
  3. Step 3: Cross multiply
    624.60x = 862.20 × 456.71
  4. Step 4: Simplify right side
    624.60x = 393,771.05
  5. Step 5: Solve for x
    x = 393,771.05/624.60
  6. Step 6: Final answer
    x = 630.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.