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Finding the Fourth Proportional to 874.46, 1,311.76 and 289.22

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Solution

The fourth proportional to 874.46, 1,311.76 and 289.22 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.46 : 1,311.76 = 289.22 : x
  2. Step 2: Convert to fraction form
    874.46/1,311.76 = 289.22/x
  3. Step 3: Cross multiply
    874.46x = 1,311.76 × 289.22
  4. Step 4: Simplify right side
    874.46x = 379,387.23
  5. Step 5: Solve for x
    x = 379,387.23/874.46
  6. Step 6: Final answer
    x = 433.85

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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.