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Finding the Fourth Proportional to 461.28, 691.34 and 217.28

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Solution

The fourth proportional to 461.28, 691.34 and 217.28 is: 325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.28 : 691.34 = 217.28 : x
  2. Step 2: Convert to fraction form
    461.28/691.34 = 217.28/x
  3. Step 3: Cross multiply
    461.28x = 691.34 × 217.28
  4. Step 4: Simplify right side
    461.28x = 150,209.81
  5. Step 5: Solve for x
    x = 150,209.81/461.28
  6. Step 6: Final answer
    x = 325.64

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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.