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Finding the Fourth Proportional to 461.36, 691.76 and 229.98

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Solution

The fourth proportional to 461.36, 691.76 and 229.98 is: 344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.36 : 691.76 = 229.98 : x
  2. Step 2: Convert to fraction form
    461.36/691.76 = 229.98/x
  3. Step 3: Cross multiply
    461.36x = 691.76 × 229.98
  4. Step 4: Simplify right side
    461.36x = 159,090.96
  5. Step 5: Solve for x
    x = 159,090.96/461.36
  6. Step 6: Final answer
    x = 344.83

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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.