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Finding the Fourth Proportional to 879.20, 1,318.96 and 302.24

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Solution

The fourth proportional to 879.20, 1,318.96 and 302.24 is: 453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.20 : 1,318.96 = 302.24 : x
  2. Step 2: Convert to fraction form
    879.20/1,318.96 = 302.24/x
  3. Step 3: Cross multiply
    879.20x = 1,318.96 × 302.24
  4. Step 4: Simplify right side
    879.20x = 398,642.47
  5. Step 5: Solve for x
    x = 398,642.47/879.20
  6. Step 6: Final answer
    x = 453.42

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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.