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Finding the Fourth Proportional to 296.50, 443.82 and 252.76

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Solution

The fourth proportional to 296.50, 443.82 and 252.76 is: 378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.50 : 443.82 = 252.76 : x
  2. Step 2: Convert to fraction form
    296.50/443.82 = 252.76/x
  3. Step 3: Cross multiply
    296.50x = 443.82 × 252.76
  4. Step 4: Simplify right side
    296.50x = 112,179.94
  5. Step 5: Solve for x
    x = 112,179.94/296.50
  6. Step 6: Final answer
    x = 378.35

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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.