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Finding the Fourth Proportional to 312.78, 431.74 and 214.82

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Solution

The fourth proportional to 312.78, 431.74 and 214.82 is: 296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.78 : 431.74 = 214.82 : x
  2. Step 2: Convert to fraction form
    312.78/431.74 = 214.82/x
  3. Step 3: Cross multiply
    312.78x = 431.74 × 214.82
  4. Step 4: Simplify right side
    312.78x = 92,746.39
  5. Step 5: Solve for x
    x = 92,746.39/312.78
  6. Step 6: Final answer
    x = 296.52

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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.