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Finding the Fourth Proportional to 492.76, 679.99 and 296.30

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Solution

The fourth proportional to 492.76, 679.99 and 296.30 is: 408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.76 : 679.99 = 296.30 : x
  2. Step 2: Convert to fraction form
    492.76/679.99 = 296.30/x
  3. Step 3: Cross multiply
    492.76x = 679.99 × 296.30
  4. Step 4: Simplify right side
    492.76x = 201,481.04
  5. Step 5: Solve for x
    x = 201,481.04/492.76
  6. Step 6: Final answer
    x = 408.88

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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.