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Finding the Fourth Proportional to 461.54, 691.42 and 288.27

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Solution

The fourth proportional to 461.54, 691.42 and 288.27 is: 431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 691.42 = 288.27 : x
  2. Step 2: Convert to fraction form
    461.54/691.42 = 288.27/x
  3. Step 3: Cross multiply
    461.54x = 691.42 × 288.27
  4. Step 4: Simplify right side
    461.54x = 199,316.65
  5. Step 5: Solve for x
    x = 199,316.65/461.54
  6. Step 6: Final answer
    x = 431.85

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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.