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Finding the Fourth Proportional to 565.79, 779.94 and 399.53

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Solution

The fourth proportional to 565.79, 779.94 and 399.53 is: 550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.79 : 779.94 = 399.53 : x
  2. Step 2: Convert to fraction form
    565.79/779.94 = 399.53/x
  3. Step 3: Cross multiply
    565.79x = 779.94 × 399.53
  4. Step 4: Simplify right side
    565.79x = 311,609.43
  5. Step 5: Solve for x
    x = 311,609.43/565.79
  6. Step 6: Final answer
    x = 550.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.