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Finding the Fourth Proportional to 307.53, 424.12 and 209.27

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Solution

The fourth proportional to 307.53, 424.12 and 209.27 is: 288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.53 : 424.12 = 209.27 : x
  2. Step 2: Convert to fraction form
    307.53/424.12 = 209.27/x
  3. Step 3: Cross multiply
    307.53x = 424.12 × 209.27
  4. Step 4: Simplify right side
    307.53x = 88,755.59
  5. Step 5: Solve for x
    x = 88,755.59/307.53
  6. Step 6: Final answer
    x = 288.61

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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.