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Finding the Fourth Proportional to 492.38, 679.57 and 282.56

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Solution

The fourth proportional to 492.38, 679.57 and 282.56 is: 389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.38 : 679.57 = 282.56 : x
  2. Step 2: Convert to fraction form
    492.38/679.57 = 282.56/x
  3. Step 3: Cross multiply
    492.38x = 679.57 × 282.56
  4. Step 4: Simplify right side
    492.38x = 192,019.30
  5. Step 5: Solve for x
    x = 192,019.30/492.38
  6. Step 6: Final answer
    x = 389.98

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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.