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Finding the Fourth Proportional to 334.78, 462.16 and 251.76

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Solution

The fourth proportional to 334.78, 462.16 and 251.76 is: 347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.78 : 462.16 = 251.76 : x
  2. Step 2: Convert to fraction form
    334.78/462.16 = 251.76/x
  3. Step 3: Cross multiply
    334.78x = 462.16 × 251.76
  4. Step 4: Simplify right side
    334.78x = 116,353.40
  5. Step 5: Solve for x
    x = 116,353.40/334.78
  6. Step 6: Final answer
    x = 347.55

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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.