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Finding the Fourth Proportional to 492.34, 679.46 and 295.85

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Solution

The fourth proportional to 492.34, 679.46 and 295.85 is: 408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.34 : 679.46 = 295.85 : x
  2. Step 2: Convert to fraction form
    492.34/679.46 = 295.85/x
  3. Step 3: Cross multiply
    492.34x = 679.46 × 295.85
  4. Step 4: Simplify right side
    492.34x = 201,016.76
  5. Step 5: Solve for x
    x = 201,016.76/492.34
  6. Step 6: Final answer
    x = 408.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.