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Finding the Fourth Proportional to 571.68, 856.77 and 311.79

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Solution

The fourth proportional to 571.68, 856.77 and 311.79 is: 467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.68 : 856.77 = 311.79 : x
  2. Step 2: Convert to fraction form
    571.68/856.77 = 311.79/x
  3. Step 3: Cross multiply
    571.68x = 856.77 × 311.79
  4. Step 4: Simplify right side
    571.68x = 267,132.32
  5. Step 5: Solve for x
    x = 267,132.32/571.68
  6. Step 6: Final answer
    x = 467.28

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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.