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Finding the Fourth Proportional to 297.96, 410.76 and 209.17

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Solution

The fourth proportional to 297.96, 410.76 and 209.17 is: 288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.96 : 410.76 = 209.17 : x
  2. Step 2: Convert to fraction form
    297.96/410.76 = 209.17/x
  3. Step 3: Cross multiply
    297.96x = 410.76 × 209.17
  4. Step 4: Simplify right side
    297.96x = 85,920.59
  5. Step 5: Solve for x
    x = 85,920.59/297.96
  6. Step 6: Final answer
    x = 288.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.