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Finding the Fourth Proportional to 312.57, 431.46 and 214.83

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Solution

The fourth proportional to 312.57, 431.46 and 214.83 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.57 : 431.46 = 214.83 : x
  2. Step 2: Convert to fraction form
    312.57/431.46 = 214.83/x
  3. Step 3: Cross multiply
    312.57x = 431.46 × 214.83
  4. Step 4: Simplify right side
    312.57x = 92,690.55
  5. Step 5: Solve for x
    x = 92,690.55/312.57
  6. Step 6: Final answer
    x = 296.54

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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.