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Finding the Fourth Proportional to 493.47, 680.99 and 296.94

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Solution

The fourth proportional to 493.47, 680.99 and 296.94 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.47 : 680.99 = 296.94 : x
  2. Step 2: Convert to fraction form
    493.47/680.99 = 296.94/x
  3. Step 3: Cross multiply
    493.47x = 680.99 × 296.94
  4. Step 4: Simplify right side
    493.47x = 202,213.17
  5. Step 5: Solve for x
    x = 202,213.17/493.47
  6. Step 6: Final answer
    x = 409.78

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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.