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Finding the Fourth Proportional to 297.91, 411.10 and 209.52

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Solution

The fourth proportional to 297.91, 411.10 and 209.52 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.91 : 411.10 = 209.52 : x
  2. Step 2: Convert to fraction form
    297.91/411.10 = 209.52/x
  3. Step 3: Cross multiply
    297.91x = 411.10 × 209.52
  4. Step 4: Simplify right side
    297.91x = 86,133.67
  5. Step 5: Solve for x
    x = 86,133.67/297.91
  6. Step 6: Final answer
    x = 289.13

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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.