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Finding the Fourth Proportional to 565.27, 780.18 and 408.43

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Solution

The fourth proportional to 565.27, 780.18 and 408.43 is: 563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.27 : 780.18 = 408.43 : x
  2. Step 2: Convert to fraction form
    565.27/780.18 = 408.43/x
  3. Step 3: Cross multiply
    565.27x = 780.18 × 408.43
  4. Step 4: Simplify right side
    565.27x = 318,648.92
  5. Step 5: Solve for x
    x = 318,648.92/565.27
  6. Step 6: Final answer
    x = 563.71

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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.