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Finding the Fourth Proportional to 344.32, 474.96 and 232.48

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Solution

The fourth proportional to 344.32, 474.96 and 232.48 is: 320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.32 : 474.96 = 232.48 : x
  2. Step 2: Convert to fraction form
    344.32/474.96 = 232.48/x
  3. Step 3: Cross multiply
    344.32x = 474.96 × 232.48
  4. Step 4: Simplify right side
    344.32x = 110,418.70
  5. Step 5: Solve for x
    x = 110,418.70/344.32
  6. Step 6: Final answer
    x = 320.69

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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.