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Finding the Fourth Proportional to 461.32, 691.35 and 244.47

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Solution

The fourth proportional to 461.32, 691.35 and 244.47 is: 366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 691.35 = 244.47 : x
  2. Step 2: Convert to fraction form
    461.32/691.35 = 244.47/x
  3. Step 3: Cross multiply
    461.32x = 691.35 × 244.47
  4. Step 4: Simplify right side
    461.32x = 169,014.33
  5. Step 5: Solve for x
    x = 169,014.33/461.32
  6. Step 6: Final answer
    x = 366.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.