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Finding the Fourth Proportional to 571.37, 856.46 and 366.08

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Solution

The fourth proportional to 571.37, 856.46 and 366.08 is: 548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.37 : 856.46 = 366.08 : x
  2. Step 2: Convert to fraction form
    571.37/856.46 = 366.08/x
  3. Step 3: Cross multiply
    571.37x = 856.46 × 366.08
  4. Step 4: Simplify right side
    571.37x = 313,529.51
  5. Step 5: Solve for x
    x = 313,529.51/571.37
  6. Step 6: Final answer
    x = 548.74

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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.