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Finding the Fourth Proportional to 307.20, 424.28 and 238.09

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Solution

The fourth proportional to 307.20, 424.28 and 238.09 is: 328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.20 : 424.28 = 238.09 : x
  2. Step 2: Convert to fraction form
    307.20/424.28 = 238.09/x
  3. Step 3: Cross multiply
    307.20x = 424.28 × 238.09
  4. Step 4: Simplify right side
    307.20x = 101,018.42
  5. Step 5: Solve for x
    x = 101,018.42/307.20
  6. Step 6: Final answer
    x = 328.84

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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.