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Finding the Fourth Proportional to 352.26, 527.71 and 266.15

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Solution

The fourth proportional to 352.26, 527.71 and 266.15 is: 398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.26 : 527.71 = 266.15 : x
  2. Step 2: Convert to fraction form
    352.26/527.71 = 266.15/x
  3. Step 3: Cross multiply
    352.26x = 527.71 × 266.15
  4. Step 4: Simplify right side
    352.26x = 140,450.02
  5. Step 5: Solve for x
    x = 140,450.02/352.26
  6. Step 6: Final answer
    x = 398.71

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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.