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Finding the Fourth Proportional to 312.40, 430.98 and 213.94

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Solution

The fourth proportional to 312.40, 430.98 and 213.94 is: 295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.40 : 430.98 = 213.94 : x
  2. Step 2: Convert to fraction form
    312.40/430.98 = 213.94/x
  3. Step 3: Cross multiply
    312.40x = 430.98 × 213.94
  4. Step 4: Simplify right side
    312.40x = 92,203.86
  5. Step 5: Solve for x
    x = 92,203.86/312.40
  6. Step 6: Final answer
    x = 295.15

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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.