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Finding the Fourth Proportional to 307.52, 424.48 and 238.56

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Solution

The fourth proportional to 307.52, 424.48 and 238.56 is: 329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.52 : 424.48 = 238.56 : x
  2. Step 2: Convert to fraction form
    307.52/424.48 = 238.56/x
  3. Step 3: Cross multiply
    307.52x = 424.48 × 238.56
  4. Step 4: Simplify right side
    307.52x = 101,263.95
  5. Step 5: Solve for x
    x = 101,263.95/307.52
  6. Step 6: Final answer
    x = 329.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.