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Finding the Fourth Proportional to 872.84, 1,309.44 and 279.72

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Solution

The fourth proportional to 872.84, 1,309.44 and 279.72 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.84 : 1,309.44 = 279.72 : x
  2. Step 2: Convert to fraction form
    872.84/1,309.44 = 279.72/x
  3. Step 3: Cross multiply
    872.84x = 1,309.44 × 279.72
  4. Step 4: Simplify right side
    872.84x = 366,276.56
  5. Step 5: Solve for x
    x = 366,276.56/872.84
  6. Step 6: Final answer
    x = 419.64

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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.