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Finding the Fourth Proportional to 571.06, 856.86 and 311.05

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Solution

The fourth proportional to 571.06, 856.86 and 311.05 is: 466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.06 : 856.86 = 311.05 : x
  2. Step 2: Convert to fraction form
    571.06/856.86 = 311.05/x
  3. Step 3: Cross multiply
    571.06x = 856.86 × 311.05
  4. Step 4: Simplify right side
    571.06x = 266,526.30
  5. Step 5: Solve for x
    x = 266,526.30/571.06
  6. Step 6: Final answer
    x = 466.72

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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.