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Finding the Fourth Proportional to 301.52, 416.04 and 243.44

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Solution

The fourth proportional to 301.52, 416.04 and 243.44 is: 335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.52 : 416.04 = 243.44 : x
  2. Step 2: Convert to fraction form
    301.52/416.04 = 243.44/x
  3. Step 3: Cross multiply
    301.52x = 416.04 × 243.44
  4. Step 4: Simplify right side
    301.52x = 101,280.78
  5. Step 5: Solve for x
    x = 101,280.78/301.52
  6. Step 6: Final answer
    x = 335.90

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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.