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Finding the Fourth Proportional to 346.11, 517.86 and 230.84

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Solution

The fourth proportional to 346.11, 517.86 and 230.84 is: 345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.11 : 517.86 = 230.84 : x
  2. Step 2: Convert to fraction form
    346.11/517.86 = 230.84/x
  3. Step 3: Cross multiply
    346.11x = 517.86 × 230.84
  4. Step 4: Simplify right side
    346.11x = 119,542.80
  5. Step 5: Solve for x
    x = 119,542.80/346.11
  6. Step 6: Final answer
    x = 345.39

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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.