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Finding the Fourth Proportional to 492.53, 679.61 and 296

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Solution

The fourth proportional to 492.53, 679.61 and 296 is: 408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.53 : 679.61 = 296 : x
  2. Step 2: Convert to fraction form
    492.53/679.61 = 296/x
  3. Step 3: Cross multiply
    492.53x = 679.61 × 296
  4. Step 4: Simplify right side
    492.53x = 201,164.56
  5. Step 5: Solve for x
    x = 201,164.56/492.53
  6. Step 6: Final answer
    x = 408.43

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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.