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Finding the Fourth Proportional to 429.44, 641.20 and 380.96

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Solution

The fourth proportional to 429.44, 641.20 and 380.96 is: 568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.44 : 641.20 = 380.96 : x
  2. Step 2: Convert to fraction form
    429.44/641.20 = 380.96/x
  3. Step 3: Cross multiply
    429.44x = 641.20 × 380.96
  4. Step 4: Simplify right side
    429.44x = 244,271.55
  5. Step 5: Solve for x
    x = 244,271.55/429.44
  6. Step 6: Final answer
    x = 568.81

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Why These Related Problems?

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