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Finding the Fourth Proportional to 344.78, 517.38 and 312.34

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Solution

The fourth proportional to 344.78, 517.38 and 312.34 is: 468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.78 : 517.38 = 312.34 : x
  2. Step 2: Convert to fraction form
    344.78/517.38 = 312.34/x
  3. Step 3: Cross multiply
    344.78x = 517.38 × 312.34
  4. Step 4: Simplify right side
    344.78x = 161,599.06
  5. Step 5: Solve for x
    x = 161,599.06/344.78
  6. Step 6: Final answer
    x = 468.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.