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Finding the Fourth Proportional to 523.86, 784.97 and 408.03

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Solution

The fourth proportional to 523.86, 784.97 and 408.03 is: 611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.86 : 784.97 = 408.03 : x
  2. Step 2: Convert to fraction form
    523.86/784.97 = 408.03/x
  3. Step 3: Cross multiply
    523.86x = 784.97 × 408.03
  4. Step 4: Simplify right side
    523.86x = 320,291.31
  5. Step 5: Solve for x
    x = 320,291.31/523.86
  6. Step 6: Final answer
    x = 611.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.