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Finding the Fourth Proportional to 578.59, 867.90 and 145.75

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Solution

The fourth proportional to 578.59, 867.90 and 145.75 is: 218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.59 : 867.90 = 145.75 : x
  2. Step 2: Convert to fraction form
    578.59/867.90 = 145.75/x
  3. Step 3: Cross multiply
    578.59x = 867.90 × 145.75
  4. Step 4: Simplify right side
    578.59x = 126,496.43
  5. Step 5: Solve for x
    x = 126,496.43/578.59
  6. Step 6: Final answer
    x = 218.63

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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.