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Finding the Fourth Proportional to 312.09, 430.50 and 213.84

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Solution

The fourth proportional to 312.09, 430.50 and 213.84 is: 294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.09 : 430.50 = 213.84 : x
  2. Step 2: Convert to fraction form
    312.09/430.50 = 213.84/x
  3. Step 3: Cross multiply
    312.09x = 430.50 × 213.84
  4. Step 4: Simplify right side
    312.09x = 92,058.12
  5. Step 5: Solve for x
    x = 92,058.12/312.09
  6. Step 6: Final answer
    x = 294.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.