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Finding the Fourth Proportional to 872.74, 1,309.65 and 296.02

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Solution

The fourth proportional to 872.74, 1,309.65 and 296.02 is: 444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.74 : 1,309.65 = 296.02 : x
  2. Step 2: Convert to fraction form
    872.74/1,309.65 = 296.02/x
  3. Step 3: Cross multiply
    872.74x = 1,309.65 × 296.02
  4. Step 4: Simplify right side
    872.74x = 387,682.59
  5. Step 5: Solve for x
    x = 387,682.59/872.74
  6. Step 6: Final answer
    x = 444.21

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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.