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Finding the Fourth Proportional to 492.35, 679.49 and 282.56

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Solution

The fourth proportional to 492.35, 679.49 and 282.56 is: 389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.35 : 679.49 = 282.56 : x
  2. Step 2: Convert to fraction form
    492.35/679.49 = 282.56/x
  3. Step 3: Cross multiply
    492.35x = 679.49 × 282.56
  4. Step 4: Simplify right side
    492.35x = 191,992.94
  5. Step 5: Solve for x
    x = 191,992.94/492.35
  6. Step 6: Final answer
    x = 389.96

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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.