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Finding the Fourth Proportional to 341.25, 511.67 and 231.70

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Solution

The fourth proportional to 341.25, 511.67 and 231.70 is: 347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.25 : 511.67 = 231.70 : x
  2. Step 2: Convert to fraction form
    341.25/511.67 = 231.70/x
  3. Step 3: Cross multiply
    341.25x = 511.67 × 231.70
  4. Step 4: Simplify right side
    341.25x = 118,553.94
  5. Step 5: Solve for x
    x = 118,553.94/341.25
  6. Step 6: Final answer
    x = 347.41

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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.