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Finding the Fourth Proportional to 571.59, 856.99 and 293.27

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Solution

The fourth proportional to 571.59, 856.99 and 293.27 is: 439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.59 : 856.99 = 293.27 : x
  2. Step 2: Convert to fraction form
    571.59/856.99 = 293.27/x
  3. Step 3: Cross multiply
    571.59x = 856.99 × 293.27
  4. Step 4: Simplify right side
    571.59x = 251,325.54
  5. Step 5: Solve for x
    x = 251,325.54/571.59
  6. Step 6: Final answer
    x = 439.70

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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.