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Finding the Fourth Proportional to 571.77, 856.96 and 374.20

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Solution

The fourth proportional to 571.77, 856.96 and 374.20 is: 560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.77 : 856.96 = 374.20 : x
  2. Step 2: Convert to fraction form
    571.77/856.96 = 374.20/x
  3. Step 3: Cross multiply
    571.77x = 856.96 × 374.20
  4. Step 4: Simplify right side
    571.77x = 320,675.68
  5. Step 5: Solve for x
    x = 320,675.68/571.77
  6. Step 6: Final answer
    x = 560.85

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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.