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Finding the Fourth Proportional to 461.61, 691.77 and 230.28

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Solution

The fourth proportional to 461.61, 691.77 and 230.28 is: 345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.61 : 691.77 = 230.28 : x
  2. Step 2: Convert to fraction form
    461.61/691.77 = 230.28/x
  3. Step 3: Cross multiply
    461.61x = 691.77 × 230.28
  4. Step 4: Simplify right side
    461.61x = 159,300.80
  5. Step 5: Solve for x
    x = 159,300.80/461.61
  6. Step 6: Final answer
    x = 345.10

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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.