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Finding the Fourth Proportional to 307.82, 424.38 and 209.41

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Solution

The fourth proportional to 307.82, 424.38 and 209.41 is: 288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 424.38 = 209.41 : x
  2. Step 2: Convert to fraction form
    307.82/424.38 = 209.41/x
  3. Step 3: Cross multiply
    307.82x = 424.38 × 209.41
  4. Step 4: Simplify right side
    307.82x = 88,869.42
  5. Step 5: Solve for x
    x = 88,869.42/307.82
  6. Step 6: Final answer
    x = 288.71

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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.