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Finding the Fourth Proportional to 571.88, 856.99 and 311.66

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Solution

The fourth proportional to 571.88, 856.99 and 311.66 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.88 : 856.99 = 311.66 : x
  2. Step 2: Convert to fraction form
    571.88/856.99 = 311.66/x
  3. Step 3: Cross multiply
    571.88x = 856.99 × 311.66
  4. Step 4: Simplify right side
    571.88x = 267,089.50
  5. Step 5: Solve for x
    x = 267,089.50/571.88
  6. Step 6: Final answer
    x = 467.04

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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.