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Finding the Fourth Proportional to 296.34, 443.72 and 261.73

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Solution

The fourth proportional to 296.34, 443.72 and 261.73 is: 391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 443.72 = 261.73 : x
  2. Step 2: Convert to fraction form
    296.34/443.72 = 261.73/x
  3. Step 3: Cross multiply
    296.34x = 443.72 × 261.73
  4. Step 4: Simplify right side
    296.34x = 116,133.53
  5. Step 5: Solve for x
    x = 116,133.53/296.34
  6. Step 6: Final answer
    x = 391.90

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