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Finding the Fourth Proportional to 618.20, 853.52 and 478.06

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Solution

The fourth proportional to 618.20, 853.52 and 478.06 is: 660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.20 : 853.52 = 478.06 : x
  2. Step 2: Convert to fraction form
    618.20/853.52 = 478.06/x
  3. Step 3: Cross multiply
    618.20x = 853.52 × 478.06
  4. Step 4: Simplify right side
    618.20x = 408,033.77
  5. Step 5: Solve for x
    x = 408,033.77/618.20
  6. Step 6: Final answer
    x = 660.04

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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.