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Finding the Fourth Proportional to 430.20, 644.78 and 213.32

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Solution

The fourth proportional to 430.20, 644.78 and 213.32 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.20 : 644.78 = 213.32 : x
  2. Step 2: Convert to fraction form
    430.20/644.78 = 213.32/x
  3. Step 3: Cross multiply
    430.20x = 644.78 × 213.32
  4. Step 4: Simplify right side
    430.20x = 137,540.18
  5. Step 5: Solve for x
    x = 137,540.18/430.20
  6. Step 6: Final answer
    x = 319.71

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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.