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Finding the Fourth Proportional to 352.20, 526.26 and 254.24

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Solution

The fourth proportional to 352.20, 526.26 and 254.24 is: 379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.20 : 526.26 = 254.24 : x
  2. Step 2: Convert to fraction form
    352.20/526.26 = 254.24/x
  3. Step 3: Cross multiply
    352.20x = 526.26 × 254.24
  4. Step 4: Simplify right side
    352.20x = 133,793.71
  5. Step 5: Solve for x
    x = 133,793.71/352.20
  6. Step 6: Final answer
    x = 379.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.