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Finding the Fourth Proportional to 574.80, 860.52 and 482.44

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Solution

The fourth proportional to 574.80, 860.52 and 482.44 is: 722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 860.52 = 482.44 : x
  2. Step 2: Convert to fraction form
    574.80/860.52 = 482.44/x
  3. Step 3: Cross multiply
    574.80x = 860.52 × 482.44
  4. Step 4: Simplify right side
    574.80x = 415,149.27
  5. Step 5: Solve for x
    x = 415,149.27/574.80
  6. Step 6: Final answer
    x = 722.25

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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.