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Finding the Fourth Proportional to 461.54, 691.83 and 256.21

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Solution

The fourth proportional to 461.54, 691.83 and 256.21 is: 384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 691.83 = 256.21 : x
  2. Step 2: Convert to fraction form
    461.54/691.83 = 256.21/x
  3. Step 3: Cross multiply
    461.54x = 691.83 × 256.21
  4. Step 4: Simplify right side
    461.54x = 177,252.03
  5. Step 5: Solve for x
    x = 177,252.03/461.54
  6. Step 6: Final answer
    x = 384.04

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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.