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Finding the Fourth Proportional to 313.77, 432.72 and 213.96

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Solution

The fourth proportional to 313.77, 432.72 and 213.96 is: 295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.77 : 432.72 = 213.96 : x
  2. Step 2: Convert to fraction form
    313.77/432.72 = 213.96/x
  3. Step 3: Cross multiply
    313.77x = 432.72 × 213.96
  4. Step 4: Simplify right side
    313.77x = 92,584.77
  5. Step 5: Solve for x
    x = 92,584.77/313.77
  6. Step 6: Final answer
    x = 295.07

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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.