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Finding the Fourth Proportional to 523.09, 782.74 and 327.97

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Solution

The fourth proportional to 523.09, 782.74 and 327.97 is: 490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.09 : 782.74 = 327.97 : x
  2. Step 2: Convert to fraction form
    523.09/782.74 = 327.97/x
  3. Step 3: Cross multiply
    523.09x = 782.74 × 327.97
  4. Step 4: Simplify right side
    523.09x = 256,715.24
  5. Step 5: Solve for x
    x = 256,715.24/523.09
  6. Step 6: Final answer
    x = 490.77

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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.