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Finding the Fourth Proportional to 520.29, 780.24 and 227.78

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Solution

The fourth proportional to 520.29, 780.24 and 227.78 is: 341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.29 : 780.24 = 227.78 : x
  2. Step 2: Convert to fraction form
    520.29/780.24 = 227.78/x
  3. Step 3: Cross multiply
    520.29x = 780.24 × 227.78
  4. Step 4: Simplify right side
    520.29x = 177,723.07
  5. Step 5: Solve for x
    x = 177,723.07/520.29
  6. Step 6: Final answer
    x = 341.58

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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.