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Finding the Fourth Proportional to 596.11, 822.96 and 400.66

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Solution

The fourth proportional to 596.11, 822.96 and 400.66 is: 553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.11 : 822.96 = 400.66 : x
  2. Step 2: Convert to fraction form
    596.11/822.96 = 400.66/x
  3. Step 3: Cross multiply
    596.11x = 822.96 × 400.66
  4. Step 4: Simplify right side
    596.11x = 329,727.15
  5. Step 5: Solve for x
    x = 329,727.15/596.11
  6. Step 6: Final answer
    x = 553.13

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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.