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Finding the Fourth Proportional to 618.59, 853.70 and 338.82

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Solution

The fourth proportional to 618.59, 853.70 and 338.82 is: 467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.59 : 853.70 = 338.82 : x
  2. Step 2: Convert to fraction form
    618.59/853.70 = 338.82/x
  3. Step 3: Cross multiply
    618.59x = 853.70 × 338.82
  4. Step 4: Simplify right side
    618.59x = 289,250.63
  5. Step 5: Solve for x
    x = 289,250.63/618.59
  6. Step 6: Final answer
    x = 467.60

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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.