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Finding the Fourth Proportional to 296.28, 443.88 and 232.02

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Solution

The fourth proportional to 296.28, 443.88 and 232.02 is: 347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.28 : 443.88 = 232.02 : x
  2. Step 2: Convert to fraction form
    296.28/443.88 = 232.02/x
  3. Step 3: Cross multiply
    296.28x = 443.88 × 232.02
  4. Step 4: Simplify right side
    296.28x = 102,989.04
  5. Step 5: Solve for x
    x = 102,989.04/296.28
  6. Step 6: Final answer
    x = 347.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.