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Finding the Fourth Proportional to 461.40, 691.56 and 230.16

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Solution

The fourth proportional to 461.40, 691.56 and 230.16 is: 344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.40 : 691.56 = 230.16 : x
  2. Step 2: Convert to fraction form
    461.40/691.56 = 230.16/x
  3. Step 3: Cross multiply
    461.40x = 691.56 × 230.16
  4. Step 4: Simplify right side
    461.40x = 159,169.45
  5. Step 5: Solve for x
    x = 159,169.45/461.40
  6. Step 6: Final answer
    x = 344.97

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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.