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Finding the Fourth Proportional to 618.48, 853.50 and 338.71

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Solution

The fourth proportional to 618.48, 853.50 and 338.71 is: 467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.48 : 853.50 = 338.71 : x
  2. Step 2: Convert to fraction form
    618.48/853.50 = 338.71/x
  3. Step 3: Cross multiply
    618.48x = 853.50 × 338.71
  4. Step 4: Simplify right side
    618.48x = 289,088.99
  5. Step 5: Solve for x
    x = 289,088.99/618.48
  6. Step 6: Final answer
    x = 467.42

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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.