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Finding the Fourth Proportional to 429.89, 644.86 and 105.26

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Solution

The fourth proportional to 429.89, 644.86 and 105.26 is: 157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.89 : 644.86 = 105.26 : x
  2. Step 2: Convert to fraction form
    429.89/644.86 = 105.26/x
  3. Step 3: Cross multiply
    429.89x = 644.86 × 105.26
  4. Step 4: Simplify right side
    429.89x = 67,877.96
  5. Step 5: Solve for x
    x = 67,877.96/429.89
  6. Step 6: Final answer
    x = 157.90

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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.