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Finding the Fourth Proportional to 386.12, 532.98 and 282.76

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Solution

The fourth proportional to 386.12, 532.98 and 282.76 is: 390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.12 : 532.98 = 282.76 : x
  2. Step 2: Convert to fraction form
    386.12/532.98 = 282.76/x
  3. Step 3: Cross multiply
    386.12x = 532.98 × 282.76
  4. Step 4: Simplify right side
    386.12x = 150,705.42
  5. Step 5: Solve for x
    x = 150,705.42/386.12
  6. Step 6: Final answer
    x = 390.31

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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.