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Finding the Fourth Proportional to 354.32, 531.48 and 209.96

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Solution

The fourth proportional to 354.32, 531.48 and 209.96 is: 314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.32 : 531.48 = 209.96 : x
  2. Step 2: Convert to fraction form
    354.32/531.48 = 209.96/x
  3. Step 3: Cross multiply
    354.32x = 531.48 × 209.96
  4. Step 4: Simplify right side
    354.32x = 111,589.54
  5. Step 5: Solve for x
    x = 111,589.54/354.32
  6. Step 6: Final answer
    x = 314.94

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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.