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Finding the Fourth Proportional to 301.76, 416 and 243.52

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Solution

The fourth proportional to 301.76, 416 and 243.52 is: 335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.76 : 416 = 243.52 : x
  2. Step 2: Convert to fraction form
    301.76/416 = 243.52/x
  3. Step 3: Cross multiply
    301.76x = 416 × 243.52
  4. Step 4: Simplify right side
    301.76x = 101,304.32
  5. Step 5: Solve for x
    x = 101,304.32/301.76
  6. Step 6: Final answer
    x = 335.71

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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.