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Finding the Fourth Proportional to 578.31, 867.47 and 145.47

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Solution

The fourth proportional to 578.31, 867.47 and 145.47 is: 218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.31 : 867.47 = 145.47 : x
  2. Step 2: Convert to fraction form
    578.31/867.47 = 145.47/x
  3. Step 3: Cross multiply
    578.31x = 867.47 × 145.47
  4. Step 4: Simplify right side
    578.31x = 126,188.53
  5. Step 5: Solve for x
    x = 126,188.53/578.31
  6. Step 6: Final answer
    x = 218.20

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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.