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Finding the Fourth Proportional to 352.26, 528.39 and 261.14

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Solution

The fourth proportional to 352.26, 528.39 and 261.14 is: 391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.26 : 528.39 = 261.14 : x
  2. Step 2: Convert to fraction form
    352.26/528.39 = 261.14/x
  3. Step 3: Cross multiply
    352.26x = 528.39 × 261.14
  4. Step 4: Simplify right side
    352.26x = 137,981.12
  5. Step 5: Solve for x
    x = 137,981.12/352.26
  6. Step 6: Final answer
    x = 391.70

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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.