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Finding the Fourth Proportional to 578.72, 799.31 and 391.88

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Solution

The fourth proportional to 578.72, 799.31 and 391.88 is: 541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.72 : 799.31 = 391.88 : x
  2. Step 2: Convert to fraction form
    578.72/799.31 = 391.88/x
  3. Step 3: Cross multiply
    578.72x = 799.31 × 391.88
  4. Step 4: Simplify right side
    578.72x = 313,232.11
  5. Step 5: Solve for x
    x = 313,232.11/578.72
  6. Step 6: Final answer
    x = 541.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.