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Finding the Fourth Proportional to 596.96, 823.19 and 472.43

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Solution

The fourth proportional to 596.96, 823.19 and 472.43 is: 651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.96 : 823.19 = 472.43 : x
  2. Step 2: Convert to fraction form
    596.96/823.19 = 472.43/x
  3. Step 3: Cross multiply
    596.96x = 823.19 × 472.43
  4. Step 4: Simplify right side
    596.96x = 388,899.65
  5. Step 5: Solve for x
    x = 388,899.65/596.96
  6. Step 6: Final answer
    x = 651.47

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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.