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Finding the Fourth Proportional to 596.38, 823.38 and 400.06

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Solution

The fourth proportional to 596.38, 823.38 and 400.06 is: 552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.38 : 823.38 = 400.06 : x
  2. Step 2: Convert to fraction form
    596.38/823.38 = 400.06/x
  3. Step 3: Cross multiply
    596.38x = 823.38 × 400.06
  4. Step 4: Simplify right side
    596.38x = 329,401.40
  5. Step 5: Solve for x
    x = 329,401.40/596.38
  6. Step 6: Final answer
    x = 552.33

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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.