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Finding the Fourth Proportional to 574.57, 858.11 and 459.19

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Solution

The fourth proportional to 574.57, 858.11 and 459.19 is: 685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.57 : 858.11 = 459.19 : x
  2. Step 2: Convert to fraction form
    574.57/858.11 = 459.19/x
  3. Step 3: Cross multiply
    574.57x = 858.11 × 459.19
  4. Step 4: Simplify right side
    574.57x = 394,035.53
  5. Step 5: Solve for x
    x = 394,035.53/574.57
  6. Step 6: Final answer
    x = 685.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.