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Finding the Fourth Proportional to 618.81, 854.09 and 422.30

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Solution

The fourth proportional to 618.81, 854.09 and 422.30 is: 582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.81 : 854.09 = 422.30 : x
  2. Step 2: Convert to fraction form
    618.81/854.09 = 422.30/x
  3. Step 3: Cross multiply
    618.81x = 854.09 × 422.30
  4. Step 4: Simplify right side
    618.81x = 360,681.39
  5. Step 5: Solve for x
    x = 360,681.39/618.81
  6. Step 6: Final answer
    x = 582.87

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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.