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Finding the Fourth Proportional to 618.28, 853.62 and 385.72

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Solution

The fourth proportional to 618.28, 853.62 and 385.72 is: 532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.28 : 853.62 = 385.72 : x
  2. Step 2: Convert to fraction form
    618.28/853.62 = 385.72/x
  3. Step 3: Cross multiply
    618.28x = 853.62 × 385.72
  4. Step 4: Simplify right side
    618.28x = 329,258.31
  5. Step 5: Solve for x
    x = 329,258.31/618.28
  6. Step 6: Final answer
    x = 532.54

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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.