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Finding the Fourth Proportional to 429.76, 644.73 and 213.31

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Solution

The fourth proportional to 429.76, 644.73 and 213.31 is: 320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.76 : 644.73 = 213.31 : x
  2. Step 2: Convert to fraction form
    429.76/644.73 = 213.31/x
  3. Step 3: Cross multiply
    429.76x = 644.73 × 213.31
  4. Step 4: Simplify right side
    429.76x = 137,527.36
  5. Step 5: Solve for x
    x = 137,527.36/429.76
  6. Step 6: Final answer
    x = 320.01

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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.