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Finding the Fourth Proportional to 523.43, 784.57 and 263.67

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Solution

The fourth proportional to 523.43, 784.57 and 263.67 is: 395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 784.57 = 263.67 : x
  2. Step 2: Convert to fraction form
    523.43/784.57 = 263.67/x
  3. Step 3: Cross multiply
    523.43x = 784.57 × 263.67
  4. Step 4: Simplify right side
    523.43x = 206,867.57
  5. Step 5: Solve for x
    x = 206,867.57/523.43
  6. Step 6: Final answer
    x = 395.22

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