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Finding the Fourth Proportional to 297.63, 410.22 and 209.15

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Solution

The fourth proportional to 297.63, 410.22 and 209.15 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.63 : 410.22 = 209.15 : x
  2. Step 2: Convert to fraction form
    297.63/410.22 = 209.15/x
  3. Step 3: Cross multiply
    297.63x = 410.22 × 209.15
  4. Step 4: Simplify right side
    297.63x = 85,795.46
  5. Step 5: Solve for x
    x = 85,795.46/297.63
  6. Step 6: Final answer
    x = 288.26

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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.