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Finding the Fourth Proportional to 463.32, 694.36 and 414.27

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Solution

The fourth proportional to 463.32, 694.36 and 414.27 is: 620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 694.36 = 414.27 : x
  2. Step 2: Convert to fraction form
    463.32/694.36 = 414.27/x
  3. Step 3: Cross multiply
    463.32x = 694.36 × 414.27
  4. Step 4: Simplify right side
    463.32x = 287,652.52
  5. Step 5: Solve for x
    x = 287,652.52/463.32
  6. Step 6: Final answer
    x = 620.85

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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.