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Finding the Fourth Proportional to 461.26, 691.98 and 256.06

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Solution

The fourth proportional to 461.26, 691.98 and 256.06 is: 384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.26 : 691.98 = 256.06 : x
  2. Step 2: Convert to fraction form
    461.26/691.98 = 256.06/x
  3. Step 3: Cross multiply
    461.26x = 691.98 × 256.06
  4. Step 4: Simplify right side
    461.26x = 177,188.40
  5. Step 5: Solve for x
    x = 177,188.40/461.26
  6. Step 6: Final answer
    x = 384.14

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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.