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Finding the Fourth Proportional to 288.19, 397.54 and 209.42

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Solution

The fourth proportional to 288.19, 397.54 and 209.42 is: 288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.19 : 397.54 = 209.42 : x
  2. Step 2: Convert to fraction form
    288.19/397.54 = 209.42/x
  3. Step 3: Cross multiply
    288.19x = 397.54 × 209.42
  4. Step 4: Simplify right side
    288.19x = 83,251.31
  5. Step 5: Solve for x
    x = 83,251.31/288.19
  6. Step 6: Final answer
    x = 288.87

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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.