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Finding the Fourth Proportional to 618.47, 853.49 and 421.98

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Solution

The fourth proportional to 618.47, 853.49 and 421.98 is: 582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.47 : 853.49 = 421.98 : x
  2. Step 2: Convert to fraction form
    618.47/853.49 = 421.98/x
  3. Step 3: Cross multiply
    618.47x = 853.49 × 421.98
  4. Step 4: Simplify right side
    618.47x = 360,153.56
  5. Step 5: Solve for x
    x = 360,153.56/618.47
  6. Step 6: Final answer
    x = 582.33

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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.