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Finding the Fourth Proportional to 571.08, 856.64 and 262.85

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Solution

The fourth proportional to 571.08, 856.64 and 262.85 is: 394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.08 : 856.64 = 262.85 : x
  2. Step 2: Convert to fraction form
    571.08/856.64 = 262.85/x
  3. Step 3: Cross multiply
    571.08x = 856.64 × 262.85
  4. Step 4: Simplify right side
    571.08x = 225,164.20
  5. Step 5: Solve for x
    x = 225,164.20/571.08
  6. Step 6: Final answer
    x = 394.28

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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.