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Finding the Fourth Proportional to 429.02, 641.81 and 371.95

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Solution

The fourth proportional to 429.02, 641.81 and 371.95 is: 556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.02 : 641.81 = 371.95 : x
  2. Step 2: Convert to fraction form
    429.02/641.81 = 371.95/x
  3. Step 3: Cross multiply
    429.02x = 641.81 × 371.95
  4. Step 4: Simplify right side
    429.02x = 238,721.23
  5. Step 5: Solve for x
    x = 238,721.23/429.02
  6. Step 6: Final answer
    x = 556.44

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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.