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Finding the Fourth Proportional to 352.81, 529.28 and 249.83

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Solution

The fourth proportional to 352.81, 529.28 and 249.83 is: 374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.81 : 529.28 = 249.83 : x
  2. Step 2: Convert to fraction form
    352.81/529.28 = 249.83/x
  3. Step 3: Cross multiply
    352.81x = 529.28 × 249.83
  4. Step 4: Simplify right side
    352.81x = 132,233.43
  5. Step 5: Solve for x
    x = 132,233.43/352.81
  6. Step 6: Final answer
    x = 374.81

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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.