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Finding the Fourth Proportional to 578.67, 866.51 and 487.17

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Solution

The fourth proportional to 578.67, 866.51 and 487.17 is: 729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 866.51 = 487.17 : x
  2. Step 2: Convert to fraction form
    578.67/866.51 = 487.17/x
  3. Step 3: Cross multiply
    578.67x = 866.51 × 487.17
  4. Step 4: Simplify right side
    578.67x = 422,135.24
  5. Step 5: Solve for x
    x = 422,135.24/578.67
  6. Step 6: Final answer
    x = 729.49

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Why These Related Problems?

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