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Finding the Fourth Proportional to 492.21, 679.19 and 282.44

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Solution

The fourth proportional to 492.21, 679.19 and 282.44 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.21 : 679.19 = 282.44 : x
  2. Step 2: Convert to fraction form
    492.21/679.19 = 282.44/x
  3. Step 3: Cross multiply
    492.21x = 679.19 × 282.44
  4. Step 4: Simplify right side
    492.21x = 191,825.62
  5. Step 5: Solve for x
    x = 191,825.62/492.21
  6. Step 6: Final answer
    x = 389.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.