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Finding the Fourth Proportional to 492.13, 679.15 and 295.66

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Solution

The fourth proportional to 492.13, 679.15 and 295.66 is: 408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.13 : 679.15 = 295.66 : x
  2. Step 2: Convert to fraction form
    492.13/679.15 = 295.66/x
  3. Step 3: Cross multiply
    492.13x = 679.15 × 295.66
  4. Step 4: Simplify right side
    492.13x = 200,797.49
  5. Step 5: Solve for x
    x = 200,797.49/492.13
  6. Step 6: Final answer
    x = 408.02

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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.