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Finding the Fourth Proportional to 574.27, 859.57 and 452.77

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Solution

The fourth proportional to 574.27, 859.57 and 452.77 is: 677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.27 : 859.57 = 452.77 : x
  2. Step 2: Convert to fraction form
    574.27/859.57 = 452.77/x
  3. Step 3: Cross multiply
    574.27x = 859.57 × 452.77
  4. Step 4: Simplify right side
    574.27x = 389,187.51
  5. Step 5: Solve for x
    x = 389,187.51/574.27
  6. Step 6: Final answer
    x = 677.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.