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Finding the Fourth Proportional to 429.28, 644.12 and 213.01

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Solution

The fourth proportional to 429.28, 644.12 and 213.01 is: 319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.28 : 644.12 = 213.01 : x
  2. Step 2: Convert to fraction form
    429.28/644.12 = 213.01/x
  3. Step 3: Cross multiply
    429.28x = 644.12 × 213.01
  4. Step 4: Simplify right side
    429.28x = 137,199.72
  5. Step 5: Solve for x
    x = 137,199.72/429.28
  6. Step 6: Final answer
    x = 319.61

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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.