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Finding the Fourth Proportional to 618.88, 854.36 and 398.20

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Solution

The fourth proportional to 618.88, 854.36 and 398.20 is: 549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.88 : 854.36 = 398.20 : x
  2. Step 2: Convert to fraction form
    618.88/854.36 = 398.20/x
  3. Step 3: Cross multiply
    618.88x = 854.36 × 398.20
  4. Step 4: Simplify right side
    618.88x = 340,206.15
  5. Step 5: Solve for x
    x = 340,206.15/618.88
  6. Step 6: Final answer
    x = 549.71

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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.