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Finding the Fourth Proportional to 429.41, 644.10 and 104.78

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Solution

The fourth proportional to 429.41, 644.10 and 104.78 is: 157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.41 : 644.10 = 104.78 : x
  2. Step 2: Convert to fraction form
    429.41/644.10 = 104.78/x
  3. Step 3: Cross multiply
    429.41x = 644.10 × 104.78
  4. Step 4: Simplify right side
    429.41x = 67,485.58
  5. Step 5: Solve for x
    x = 67,485.58/429.41
  6. Step 6: Final answer
    x = 157.16

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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.