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Finding the Fourth Proportional to 381.24, 571.25 and 278.05

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Solution

The fourth proportional to 381.24, 571.25 and 278.05 is: 416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 571.25 = 278.05 : x
  2. Step 2: Convert to fraction form
    381.24/571.25 = 278.05/x
  3. Step 3: Cross multiply
    381.24x = 571.25 × 278.05
  4. Step 4: Simplify right side
    381.24x = 158,833.21
  5. Step 5: Solve for x
    x = 158,833.21/381.24
  6. Step 6: Final answer
    x = 416.63

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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.