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Finding the Fourth Proportional to 571.40, 856.94 and 247.12

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Solution

The fourth proportional to 571.40, 856.94 and 247.12 is: 370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.40 : 856.94 = 247.12 : x
  2. Step 2: Convert to fraction form
    571.40/856.94 = 247.12/x
  3. Step 3: Cross multiply
    571.40x = 856.94 × 247.12
  4. Step 4: Simplify right side
    571.40x = 211,767.01
  5. Step 5: Solve for x
    x = 211,767.01/571.40
  6. Step 6: Final answer
    x = 370.61

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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.