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Finding the Fourth Proportional to 297.97, 411.00 and 209.64

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Solution

The fourth proportional to 297.97, 411.00 and 209.64 is: 289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.97 : 411.00 = 209.64 : x
  2. Step 2: Convert to fraction form
    297.97/411.00 = 209.64/x
  3. Step 3: Cross multiply
    297.97x = 411.00 × 209.64
  4. Step 4: Simplify right side
    297.97x = 86,160.48
  5. Step 5: Solve for x
    x = 86,160.48/297.97
  6. Step 6: Final answer
    x = 289.16

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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.