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Finding the Fourth Proportional to 429.44, 641.05 and 374.76

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Solution

The fourth proportional to 429.44, 641.05 and 374.76 is: 559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.44 : 641.05 = 374.76 : x
  2. Step 2: Convert to fraction form
    429.44/641.05 = 374.76/x
  3. Step 3: Cross multiply
    429.44x = 641.05 × 374.76
  4. Step 4: Simplify right side
    429.44x = 240,239.90
  5. Step 5: Solve for x
    x = 240,239.90/429.44
  6. Step 6: Final answer
    x = 559.43

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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.