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Finding the Fourth Proportional to 571.35, 856.89 and 246.54

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Solution

The fourth proportional to 571.35, 856.89 and 246.54 is: 369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.35 : 856.89 = 246.54 : x
  2. Step 2: Convert to fraction form
    571.35/856.89 = 246.54/x
  3. Step 3: Cross multiply
    571.35x = 856.89 × 246.54
  4. Step 4: Simplify right side
    571.35x = 211,257.66
  5. Step 5: Solve for x
    x = 211,257.66/571.35
  6. Step 6: Final answer
    x = 369.75

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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.