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Finding the Fourth Proportional to 596.99, 822.87 and 456.86

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Solution

The fourth proportional to 596.99, 822.87 and 456.86 is: 629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.99 : 822.87 = 456.86 : x
  2. Step 2: Convert to fraction form
    596.99/822.87 = 456.86/x
  3. Step 3: Cross multiply
    596.99x = 822.87 × 456.86
  4. Step 4: Simplify right side
    596.99x = 375,932.27
  5. Step 5: Solve for x
    x = 375,932.27/596.99
  6. Step 6: Final answer
    x = 629.72

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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.