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Finding the Fourth Proportional to 578.90, 863.96 and 531.66

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Solution

The fourth proportional to 578.90, 863.96 and 531.66 is: 793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.90 : 863.96 = 531.66 : x
  2. Step 2: Convert to fraction form
    578.90/863.96 = 531.66/x
  3. Step 3: Cross multiply
    578.90x = 863.96 × 531.66
  4. Step 4: Simplify right side
    578.90x = 459,332.97
  5. Step 5: Solve for x
    x = 459,332.97/578.90
  6. Step 6: Final answer
    x = 793.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.