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Finding the Fourth Proportional to 296.71, 445.01 and 80.24

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Solution

The fourth proportional to 296.71, 445.01 and 80.24 is: 120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.71 : 445.01 = 80.24 : x
  2. Step 2: Convert to fraction form
    296.71/445.01 = 80.24/x
  3. Step 3: Cross multiply
    296.71x = 445.01 × 80.24
  4. Step 4: Simplify right side
    296.71x = 35,705.38
  5. Step 5: Solve for x
    x = 35,705.38/296.71
  6. Step 6: Final answer
    x = 120.34

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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.