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Finding the Fourth Proportional to 461.07, 691.11 and 255.87

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Solution

The fourth proportional to 461.07, 691.11 and 255.87 is: 383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.07 : 691.11 = 255.87 : x
  2. Step 2: Convert to fraction form
    461.07/691.11 = 255.87/x
  3. Step 3: Cross multiply
    461.07x = 691.11 × 255.87
  4. Step 4: Simplify right side
    461.07x = 176,834.32
  5. Step 5: Solve for x
    x = 176,834.32/461.07
  6. Step 6: Final answer
    x = 383.53

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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.