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Finding the Fourth Proportional to 492.13, 679.22 and 282.32

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Solution

The fourth proportional to 492.13, 679.22 and 282.32 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.13 : 679.22 = 282.32 : x
  2. Step 2: Convert to fraction form
    492.13/679.22 = 282.32/x
  3. Step 3: Cross multiply
    492.13x = 679.22 × 282.32
  4. Step 4: Simplify right side
    492.13x = 191,757.39
  5. Step 5: Solve for x
    x = 191,757.39/492.13
  6. Step 6: Final answer
    x = 389.65

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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.