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Finding the Fourth Proportional to 571.38, 856.98 and 246.66

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Solution

The fourth proportional to 571.38, 856.98 and 246.66 is: 369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.38 : 856.98 = 246.66 : x
  2. Step 2: Convert to fraction form
    571.38/856.98 = 246.66/x
  3. Step 3: Cross multiply
    571.38x = 856.98 × 246.66
  4. Step 4: Simplify right side
    571.38x = 211,382.69
  5. Step 5: Solve for x
    x = 211,382.69/571.38
  6. Step 6: Final answer
    x = 369.95

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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.