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Finding the Fourth Proportional to 618.30, 853.56 and 422.84

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Solution

The fourth proportional to 618.30, 853.56 and 422.84 is: 583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.30 : 853.56 = 422.84 : x
  2. Step 2: Convert to fraction form
    618.30/853.56 = 422.84/x
  3. Step 3: Cross multiply
    618.30x = 853.56 × 422.84
  4. Step 4: Simplify right side
    618.30x = 360,919.31
  5. Step 5: Solve for x
    x = 360,919.31/618.30
  6. Step 6: Final answer
    x = 583.73

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1.5x scale

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.