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Finding the Fourth Proportional to 618.04, 853 and 408.20

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Solution

The fourth proportional to 618.04, 853 and 408.20 is: 563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.04 : 853 = 408.20 : x
  2. Step 2: Convert to fraction form
    618.04/853 = 408.20/x
  3. Step 3: Cross multiply
    618.04x = 853 × 408.20
  4. Step 4: Simplify right side
    618.04x = 348,194.60
  5. Step 5: Solve for x
    x = 348,194.60/618.04
  6. Step 6: Final answer
    x = 563.39

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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.