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Finding the Fourth Proportional to 522.87, 784.26 and 198.24

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Solution

The fourth proportional to 522.87, 784.26 and 198.24 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.87 : 784.26 = 198.24 : x
  2. Step 2: Convert to fraction form
    522.87/784.26 = 198.24/x
  3. Step 3: Cross multiply
    522.87x = 784.26 × 198.24
  4. Step 4: Simplify right side
    522.87x = 155,471.70
  5. Step 5: Solve for x
    x = 155,471.70/522.87
  6. Step 6: Final answer
    x = 297.34

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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.