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Finding the Fourth Proportional to 522.57, 784.07 and 229.92

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Solution

The fourth proportional to 522.57, 784.07 and 229.92 is: 344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 784.07 = 229.92 : x
  2. Step 2: Convert to fraction form
    522.57/784.07 = 229.92/x
  3. Step 3: Cross multiply
    522.57x = 784.07 × 229.92
  4. Step 4: Simplify right side
    522.57x = 180,273.37
  5. Step 5: Solve for x
    x = 180,273.37/522.57
  6. Step 6: Final answer
    x = 344.97

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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.