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Finding the Fourth Proportional to 386.31, 532.74 and 282.09

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Solution

The fourth proportional to 386.31, 532.74 and 282.09 is: 389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.31 : 532.74 = 282.09 : x
  2. Step 2: Convert to fraction form
    386.31/532.74 = 282.09/x
  3. Step 3: Cross multiply
    386.31x = 532.74 × 282.09
  4. Step 4: Simplify right side
    386.31x = 150,280.63
  5. Step 5: Solve for x
    x = 150,280.63/386.31
  6. Step 6: Final answer
    x = 389.02

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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.