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Finding the Fourth Proportional to 874.66, 1,311.97 and 216.51

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Solution

The fourth proportional to 874.66, 1,311.97 and 216.51 is: 324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.66 : 1,311.97 = 216.51 : x
  2. Step 2: Convert to fraction form
    874.66/1,311.97 = 216.51/x
  3. Step 3: Cross multiply
    874.66x = 1,311.97 × 216.51
  4. Step 4: Simplify right side
    874.66x = 284,054.62
  5. Step 5: Solve for x
    x = 284,054.62/874.66
  6. Step 6: Final answer
    x = 324.76

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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.