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Finding the Fourth Proportional to 430.29, 644.43 and 213.39

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Solution

The fourth proportional to 430.29, 644.43 and 213.39 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.29 : 644.43 = 213.39 : x
  2. Step 2: Convert to fraction form
    430.29/644.43 = 213.39/x
  3. Step 3: Cross multiply
    430.29x = 644.43 × 213.39
  4. Step 4: Simplify right side
    430.29x = 137,514.92
  5. Step 5: Solve for x
    x = 137,514.92/430.29
  6. Step 6: Final answer
    x = 319.59

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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.