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Finding the Fourth Proportional to 596.15, 889.02 and 523.37

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Solution

The fourth proportional to 596.15, 889.02 and 523.37 is: 780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.15 : 889.02 = 523.37 : x
  2. Step 2: Convert to fraction form
    596.15/889.02 = 523.37/x
  3. Step 3: Cross multiply
    596.15x = 889.02 × 523.37
  4. Step 4: Simplify right side
    596.15x = 465,288.62
  5. Step 5: Solve for x
    x = 465,288.62/596.15
  6. Step 6: Final answer
    x = 780.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.