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Finding the Fourth Proportional to 492.44, 679.53 and 282.61

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Solution

The fourth proportional to 492.44, 679.53 and 282.61 is: 389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.44 : 679.53 = 282.61 : x
  2. Step 2: Convert to fraction form
    492.44/679.53 = 282.61/x
  3. Step 3: Cross multiply
    492.44x = 679.53 × 282.61
  4. Step 4: Simplify right side
    492.44x = 192,038.58
  5. Step 5: Solve for x
    x = 192,038.58/492.44
  6. Step 6: Final answer
    x = 389.97

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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.