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Finding the Fourth Proportional to 461.09, 691.13 and 229.84

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Solution

The fourth proportional to 461.09, 691.13 and 229.84 is: 344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.09 : 691.13 = 229.84 : x
  2. Step 2: Convert to fraction form
    461.09/691.13 = 229.84/x
  3. Step 3: Cross multiply
    461.09x = 691.13 × 229.84
  4. Step 4: Simplify right side
    461.09x = 158,848.17
  5. Step 5: Solve for x
    x = 158,848.17/461.09
  6. Step 6: Final answer
    x = 344.50

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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.