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Finding the Fourth Proportional to 571.11, 856.64 and 278.56

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Solution

The fourth proportional to 571.11, 856.64 and 278.56 is: 417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.11 : 856.64 = 278.56 : x
  2. Step 2: Convert to fraction form
    571.11/856.64 = 278.56/x
  3. Step 3: Cross multiply
    571.11x = 856.64 × 278.56
  4. Step 4: Simplify right side
    571.11x = 238,622.10
  5. Step 5: Solve for x
    x = 238,622.10/571.11
  6. Step 6: Final answer
    x = 417.82

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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.