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Finding the Fourth Proportional to 312.93, 431.46 and 214.56

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Solution

The fourth proportional to 312.93, 431.46 and 214.56 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.93 : 431.46 = 214.56 : x
  2. Step 2: Convert to fraction form
    312.93/431.46 = 214.56/x
  3. Step 3: Cross multiply
    312.93x = 431.46 × 214.56
  4. Step 4: Simplify right side
    312.93x = 92,574.06
  5. Step 5: Solve for x
    x = 92,574.06/312.93
  6. Step 6: Final answer
    x = 295.83

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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.