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Finding the Fourth Proportional to 493.20, 680.62 and 318.84

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Solution

The fourth proportional to 493.20, 680.62 and 318.84 is: 440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 680.62 = 318.84 : x
  2. Step 2: Convert to fraction form
    493.20/680.62 = 318.84/x
  3. Step 3: Cross multiply
    493.20x = 680.62 × 318.84
  4. Step 4: Simplify right side
    493.20x = 217,011.83
  5. Step 5: Solve for x
    x = 217,011.83/493.20
  6. Step 6: Final answer
    x = 440.01

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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.