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Finding the Fourth Proportional to 461.32, 691.76 and 287.72

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Solution

The fourth proportional to 461.32, 691.76 and 287.72 is: 431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 691.76 = 287.72 : x
  2. Step 2: Convert to fraction form
    461.32/691.76 = 287.72/x
  3. Step 3: Cross multiply
    461.32x = 691.76 × 287.72
  4. Step 4: Simplify right side
    461.32x = 199,033.19
  5. Step 5: Solve for x
    x = 199,033.19/461.32
  6. Step 6: Final answer
    x = 431.44

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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.