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Finding the Fourth Proportional to 578.94, 867.33 and 448.26

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Solution

The fourth proportional to 578.94, 867.33 and 448.26 is: 671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.94 : 867.33 = 448.26 : x
  2. Step 2: Convert to fraction form
    578.94/867.33 = 448.26/x
  3. Step 3: Cross multiply
    578.94x = 867.33 × 448.26
  4. Step 4: Simplify right side
    578.94x = 388,789.35
  5. Step 5: Solve for x
    x = 388,789.35/578.94
  6. Step 6: Final answer
    x = 671.55

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