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Finding the Fourth Proportional to 492.23, 679.28 and 282.41

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Solution

The fourth proportional to 492.23, 679.28 and 282.41 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.23 : 679.28 = 282.41 : x
  2. Step 2: Convert to fraction form
    492.23/679.28 = 282.41/x
  3. Step 3: Cross multiply
    492.23x = 679.28 × 282.41
  4. Step 4: Simplify right side
    492.23x = 191,833.20
  5. Step 5: Solve for x
    x = 191,833.20/492.23
  6. Step 6: Final answer
    x = 389.72

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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.