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Finding the Fourth Proportional to 571.17, 856.76 and 311.43

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Solution

The fourth proportional to 571.17, 856.76 and 311.43 is: 467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.17 : 856.76 = 311.43 : x
  2. Step 2: Convert to fraction form
    571.17/856.76 = 311.43/x
  3. Step 3: Cross multiply
    571.17x = 856.76 × 311.43
  4. Step 4: Simplify right side
    571.17x = 266,819.21
  5. Step 5: Solve for x
    x = 266,819.21/571.17
  6. Step 6: Final answer
    x = 467.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.