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Finding the Fourth Proportional to 297.07, 409.83 and 209.86

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Solution

The fourth proportional to 297.07, 409.83 and 209.86 is: 289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.07 : 409.83 = 209.86 : x
  2. Step 2: Convert to fraction form
    297.07/409.83 = 209.86/x
  3. Step 3: Cross multiply
    297.07x = 409.83 × 209.86
  4. Step 4: Simplify right side
    297.07x = 86,005.11
  5. Step 5: Solve for x
    x = 86,005.11/297.07
  6. Step 6: Final answer
    x = 289.51

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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.