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Finding the Fourth Proportional to 871.84, 1,306.41 and 323.88

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Solution

The fourth proportional to 871.84, 1,306.41 and 323.88 is: 485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.84 : 1,306.41 = 323.88 : x
  2. Step 2: Convert to fraction form
    871.84/1,306.41 = 323.88/x
  3. Step 3: Cross multiply
    871.84x = 1,306.41 × 323.88
  4. Step 4: Simplify right side
    871.84x = 423,120.07
  5. Step 5: Solve for x
    x = 423,120.07/871.84
  6. Step 6: Final answer
    x = 485.32

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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.