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Finding the Fourth Proportional to 297.63, 410.23 and 209.14

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Solution

The fourth proportional to 297.63, 410.23 and 209.14 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.63 : 410.23 = 209.14 : x
  2. Step 2: Convert to fraction form
    297.63/410.23 = 209.14/x
  3. Step 3: Cross multiply
    297.63x = 410.23 × 209.14
  4. Step 4: Simplify right side
    297.63x = 85,794.46
  5. Step 5: Solve for x
    x = 85,794.46/297.63
  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.