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Finding the Fourth Proportional to 874.64, 1,311.56 and 297.28

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Solution

The fourth proportional to 874.64, 1,311.56 and 297.28 is: 445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.64 : 1,311.56 = 297.28 : x
  2. Step 2: Convert to fraction form
    874.64/1,311.56 = 297.28/x
  3. Step 3: Cross multiply
    874.64x = 1,311.56 × 297.28
  4. Step 4: Simplify right side
    874.64x = 389,900.56
  5. Step 5: Solve for x
    x = 389,900.56/874.64
  6. Step 6: Final answer
    x = 445.78

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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.