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Finding the Fourth Proportional to 624.24, 934.80 and 440.88

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Solution

The fourth proportional to 624.24, 934.80 and 440.88 is: 660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.24 : 934.80 = 440.88 : x
  2. Step 2: Convert to fraction form
    624.24/934.80 = 440.88/x
  3. Step 3: Cross multiply
    624.24x = 934.80 × 440.88
  4. Step 4: Simplify right side
    624.24x = 412,134.62
  5. Step 5: Solve for x
    x = 412,134.62/624.24
  6. Step 6: Final answer
    x = 660.22

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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.