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Finding the Fourth Proportional to 624.60, 863.10 and 478.26

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Solution

The fourth proportional to 624.60, 863.10 and 478.26 is: 660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 863.10 = 478.26 : x
  2. Step 2: Convert to fraction form
    624.60/863.10 = 478.26/x
  3. Step 3: Cross multiply
    624.60x = 863.10 × 478.26
  4. Step 4: Simplify right side
    624.60x = 412,786.21
  5. Step 5: Solve for x
    x = 412,786.21/624.60
  6. Step 6: Final answer
    x = 660.88

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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.