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Finding the Fourth Proportional to 596.05, 822.11 and 576

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Solution

The fourth proportional to 596.05, 822.11 and 576 is: 794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.05 : 822.11 = 576 : x
  2. Step 2: Convert to fraction form
    596.05/822.11 = 576/x
  3. Step 3: Cross multiply
    596.05x = 822.11 × 576
  4. Step 4: Simplify right side
    596.05x = 473,535.36
  5. Step 5: Solve for x
    x = 473,535.36/596.05
  6. Step 6: Final answer
    x = 794.46

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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.