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Finding the Fourth Proportional to 552.28, 826.74 and 308.06

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Solution

The fourth proportional to 552.28, 826.74 and 308.06 is: 461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.28 : 826.74 = 308.06 : x
  2. Step 2: Convert to fraction form
    552.28/826.74 = 308.06/x
  3. Step 3: Cross multiply
    552.28x = 826.74 × 308.06
  4. Step 4: Simplify right side
    552.28x = 254,685.52
  5. Step 5: Solve for x
    x = 254,685.52/552.28
  6. Step 6: Final answer
    x = 461.15

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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.