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Finding the Fourth Proportional to 571.11, 855.65 and 205.67

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Solution

The fourth proportional to 571.11, 855.65 and 205.67 is: 308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.11 : 855.65 = 205.67 : x
  2. Step 2: Convert to fraction form
    571.11/855.65 = 205.67/x
  3. Step 3: Cross multiply
    571.11x = 855.65 × 205.67
  4. Step 4: Simplify right side
    571.11x = 175,976.23
  5. Step 5: Solve for x
    x = 175,976.23/571.11
  6. Step 6: Final answer
    x = 308.13

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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.