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Finding the Fourth Proportional to 843.71, 1,265.98 and 296.02

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Solution

The fourth proportional to 843.71, 1,265.98 and 296.02 is: 444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.71 : 1,265.98 = 296.02 : x
  2. Step 2: Convert to fraction form
    843.71/1,265.98 = 296.02/x
  3. Step 3: Cross multiply
    843.71x = 1,265.98 × 296.02
  4. Step 4: Simplify right side
    843.71x = 374,751.49
  5. Step 5: Solve for x
    x = 374,751.49/843.71
  6. Step 6: Final answer
    x = 444.17

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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.