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Finding the Fourth Proportional to 429.67, 644.10 and 213.13

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Solution

The fourth proportional to 429.67, 644.10 and 213.13 is: 319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.67 : 644.10 = 213.13 : x
  2. Step 2: Convert to fraction form
    429.67/644.10 = 213.13/x
  3. Step 3: Cross multiply
    429.67x = 644.10 × 213.13
  4. Step 4: Simplify right side
    429.67x = 137,277.03
  5. Step 5: Solve for x
    x = 137,277.03/429.67
  6. Step 6: Final answer
    x = 319.49

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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.