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Finding the Fourth Proportional to 571.29, 856.39 and 224.85

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Solution

The fourth proportional to 571.29, 856.39 and 224.85 is: 337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.29 : 856.39 = 224.85 : x
  2. Step 2: Convert to fraction form
    571.29/856.39 = 224.85/x
  3. Step 3: Cross multiply
    571.29x = 856.39 × 224.85
  4. Step 4: Simplify right side
    571.29x = 192,559.29
  5. Step 5: Solve for x
    x = 192,559.29/571.29
  6. Step 6: Final answer
    x = 337.06

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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.