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Finding the Fourth Proportional to 564.87, 847.27 and 399.66

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Solution

The fourth proportional to 564.87, 847.27 and 399.66 is: 599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.87 : 847.27 = 399.66 : x
  2. Step 2: Convert to fraction form
    564.87/847.27 = 399.66/x
  3. Step 3: Cross multiply
    564.87x = 847.27 × 399.66
  4. Step 4: Simplify right side
    564.87x = 338,619.93
  5. Step 5: Solve for x
    x = 338,619.93/564.87
  6. Step 6: Final answer
    x = 599.47

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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.