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Finding the Fourth Proportional to 552.06, 762.32 and 386.61

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Solution

The fourth proportional to 552.06, 762.32 and 386.61 is: 533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.06 : 762.32 = 386.61 : x
  2. Step 2: Convert to fraction form
    552.06/762.32 = 386.61/x
  3. Step 3: Cross multiply
    552.06x = 762.32 × 386.61
  4. Step 4: Simplify right side
    552.06x = 294,720.54
  5. Step 5: Solve for x
    x = 294,720.54/552.06
  6. Step 6: Final answer
    x = 533.86

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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.