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Finding the Fourth Proportional to 596.82, 823.08 and 422.94

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Solution

The fourth proportional to 596.82, 823.08 and 422.94 is: 583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.82 : 823.08 = 422.94 : x
  2. Step 2: Convert to fraction form
    596.82/823.08 = 422.94/x
  3. Step 3: Cross multiply
    596.82x = 823.08 × 422.94
  4. Step 4: Simplify right side
    596.82x = 348,113.46
  5. Step 5: Solve for x
    x = 348,113.46/596.82
  6. Step 6: Final answer
    x = 583.28

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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.