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Finding the Fourth Proportional to 571.71, 856.86 and 279.30

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Solution

The fourth proportional to 571.71, 856.86 and 279.30 is: 418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.71 : 856.86 = 279.30 : x
  2. Step 2: Convert to fraction form
    571.71/856.86 = 279.30/x
  3. Step 3: Cross multiply
    571.71x = 856.86 × 279.30
  4. Step 4: Simplify right side
    571.71x = 239,321.00
  5. Step 5: Solve for x
    x = 239,321.00/571.71
  6. Step 6: Final answer
    x = 418.61

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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.