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Finding the Fourth Proportional to 771.44, 1,157.43 and 338.90

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Solution

The fourth proportional to 771.44, 1,157.43 and 338.90 is: 508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.44 : 1,157.43 = 338.90 : x
  2. Step 2: Convert to fraction form
    771.44/1,157.43 = 338.90/x
  3. Step 3: Cross multiply
    771.44x = 1,157.43 × 338.90
  4. Step 4: Simplify right side
    771.44x = 392,253.03
  5. Step 5: Solve for x
    x = 392,253.03/771.44
  6. Step 6: Final answer
    x = 508.47

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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.