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Finding the Fourth Proportional to 457.28, 685.24 and 213.74

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Solution

The fourth proportional to 457.28, 685.24 and 213.74 is: 320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.28 : 685.24 = 213.74 : x
  2. Step 2: Convert to fraction form
    457.28/685.24 = 213.74/x
  3. Step 3: Cross multiply
    457.28x = 685.24 × 213.74
  4. Step 4: Simplify right side
    457.28x = 146,463.20
  5. Step 5: Solve for x
    x = 146,463.20/457.28
  6. Step 6: Final answer
    x = 320.29

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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.