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Finding the Fourth Proportional to 596.62, 824.07 and 422.74

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Solution

The fourth proportional to 596.62, 824.07 and 422.74 is: 583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.62 : 824.07 = 422.74 : x
  2. Step 2: Convert to fraction form
    596.62/824.07 = 422.74/x
  3. Step 3: Cross multiply
    596.62x = 824.07 × 422.74
  4. Step 4: Simplify right side
    596.62x = 348,367.35
  5. Step 5: Solve for x
    x = 348,367.35/596.62
  6. Step 6: Final answer
    x = 583.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.