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Finding the Fourth Proportional to 493.37, 680.15 and 353.24

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Solution

The fourth proportional to 493.37, 680.15 and 353.24 is: 486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.37 : 680.15 = 353.24 : x
  2. Step 2: Convert to fraction form
    493.37/680.15 = 353.24/x
  3. Step 3: Cross multiply
    493.37x = 680.15 × 353.24
  4. Step 4: Simplify right side
    493.37x = 240,253.67
  5. Step 5: Solve for x
    x = 240,253.67/493.37
  6. Step 6: Final answer
    x = 486.97

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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.