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Finding the Fourth Proportional to 461.89, 691.62 and 256.15

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Solution

The fourth proportional to 461.89, 691.62 and 256.15 is: 383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 691.62 = 256.15 : x
  2. Step 2: Convert to fraction form
    461.89/691.62 = 256.15/x
  3. Step 3: Cross multiply
    461.89x = 691.62 × 256.15
  4. Step 4: Simplify right side
    461.89x = 177,158.46
  5. Step 5: Solve for x
    x = 177,158.46/461.89
  6. Step 6: Final answer
    x = 383.55

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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.