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Finding the Fourth Proportional to 618.24, 853.14 and 338.46

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Solution

The fourth proportional to 618.24, 853.14 and 338.46 is: 467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.24 : 853.14 = 338.46 : x
  2. Step 2: Convert to fraction form
    618.24/853.14 = 338.46/x
  3. Step 3: Cross multiply
    618.24x = 853.14 × 338.46
  4. Step 4: Simplify right side
    618.24x = 288,753.76
  5. Step 5: Solve for x
    x = 288,753.76/618.24
  6. Step 6: Final answer
    x = 467.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.