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Finding the Fourth Proportional to 578.32, 867.48 and 145.48

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Solution

The fourth proportional to 578.32, 867.48 and 145.48 is: 218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.32 : 867.48 = 145.48 : x
  2. Step 2: Convert to fraction form
    578.32/867.48 = 145.48/x
  3. Step 3: Cross multiply
    578.32x = 867.48 × 145.48
  4. Step 4: Simplify right side
    578.32x = 126,200.72
  5. Step 5: Solve for x
    x = 126,200.72/578.32
  6. Step 6: Final answer
    x = 218.22

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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.