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Finding the Fourth Proportional to 467.27, 644.46 and 414.85

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Solution

The fourth proportional to 467.27, 644.46 and 414.85 is: 572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.27 : 644.46 = 414.85 : x
  2. Step 2: Convert to fraction form
    467.27/644.46 = 414.85/x
  3. Step 3: Cross multiply
    467.27x = 644.46 × 414.85
  4. Step 4: Simplify right side
    467.27x = 267,354.23
  5. Step 5: Solve for x
    x = 267,354.23/467.27
  6. Step 6: Final answer
    x = 572.16

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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.