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Finding the Fourth Proportional to 935.44, 1,402.12 and 387.48

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Solution

The fourth proportional to 935.44, 1,402.12 and 387.48 is: 580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.44 : 1,402.12 = 387.48 : x
  2. Step 2: Convert to fraction form
    935.44/1,402.12 = 387.48/x
  3. Step 3: Cross multiply
    935.44x = 1,402.12 × 387.48
  4. Step 4: Simplify right side
    935.44x = 543,293.46
  5. Step 5: Solve for x
    x = 543,293.46/935.44
  6. Step 6: Final answer
    x = 580.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.