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Finding the Fourth Proportional to 522.82, 784.19 and 262.56

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Solution

The fourth proportional to 522.82, 784.19 and 262.56 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.82 : 784.19 = 262.56 : x
  2. Step 2: Convert to fraction form
    522.82/784.19 = 262.56/x
  3. Step 3: Cross multiply
    522.82x = 784.19 × 262.56
  4. Step 4: Simplify right side
    522.82x = 205,896.93
  5. Step 5: Solve for x
    x = 205,896.93/522.82
  6. Step 6: Final answer
    x = 393.82

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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.