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Finding the Fourth Proportional to 493.28, 680.54 and 306.56

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Solution

The fourth proportional to 493.28, 680.54 and 306.56 is: 422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 680.54 = 306.56 : x
  2. Step 2: Convert to fraction form
    493.28/680.54 = 306.56/x
  3. Step 3: Cross multiply
    493.28x = 680.54 × 306.56
  4. Step 4: Simplify right side
    493.28x = 208,626.34
  5. Step 5: Solve for x
    x = 208,626.34/493.28
  6. Step 6: Final answer
    x = 422.94

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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.