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Finding the Fourth Proportional to 493.17, 680.24 and 318.48

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Solution

The fourth proportional to 493.17, 680.24 and 318.48 is: 439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.17 : 680.24 = 318.48 : x
  2. Step 2: Convert to fraction form
    493.17/680.24 = 318.48/x
  3. Step 3: Cross multiply
    493.17x = 680.24 × 318.48
  4. Step 4: Simplify right side
    493.17x = 216,641.24
  5. Step 5: Solve for x
    x = 216,641.24/493.17
  6. Step 6: Final answer
    x = 439.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.