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Finding the Fourth Proportional to 596.57, 822.56 and 552.83

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Solution

The fourth proportional to 596.57, 822.56 and 552.83 is: 762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.57 : 822.56 = 552.83 : x
  2. Step 2: Convert to fraction form
    596.57/822.56 = 552.83/x
  3. Step 3: Cross multiply
    596.57x = 822.56 × 552.83
  4. Step 4: Simplify right side
    596.57x = 454,728.97
  5. Step 5: Solve for x
    x = 454,728.97/596.57
  6. Step 6: Final answer
    x = 762.25

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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.