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Finding the Fourth Proportional to 429.50, 644.79 and 406.82

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Solution

The fourth proportional to 429.50, 644.79 and 406.82 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.50 : 644.79 = 406.82 : x
  2. Step 2: Convert to fraction form
    429.50/644.79 = 406.82/x
  3. Step 3: Cross multiply
    429.50x = 644.79 × 406.82
  4. Step 4: Simplify right side
    429.50x = 262,310.24
  5. Step 5: Solve for x
    x = 262,310.24/429.50
  6. Step 6: Final answer
    x = 610.74

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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.