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Finding the Fourth Proportional to 429.46, 644.42 and 213.04

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Solution

The fourth proportional to 429.46, 644.42 and 213.04 is: 319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.46 : 644.42 = 213.04 : x
  2. Step 2: Convert to fraction form
    429.46/644.42 = 213.04/x
  3. Step 3: Cross multiply
    429.46x = 644.42 × 213.04
  4. Step 4: Simplify right side
    429.46x = 137,287.24
  5. Step 5: Solve for x
    x = 137,287.24/429.46
  6. Step 6: Final answer
    x = 319.67

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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.