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Finding the Fourth Proportional to 851.49, 1,276.66 and 296.06

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Solution

The fourth proportional to 851.49, 1,276.66 and 296.06 is: 443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.49 : 1,276.66 = 296.06 : x
  2. Step 2: Convert to fraction form
    851.49/1,276.66 = 296.06/x
  3. Step 3: Cross multiply
    851.49x = 1,276.66 × 296.06
  4. Step 4: Simplify right side
    851.49x = 377,960.10
  5. Step 5: Solve for x
    x = 377,960.10/851.49
  6. Step 6: Final answer
    x = 443.88

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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.