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Finding the Fourth Proportional to 334.31, 500.09 and 236.84

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Solution

The fourth proportional to 334.31, 500.09 and 236.84 is: 354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.31 : 500.09 = 236.84 : x
  2. Step 2: Convert to fraction form
    334.31/500.09 = 236.84/x
  3. Step 3: Cross multiply
    334.31x = 500.09 × 236.84
  4. Step 4: Simplify right side
    334.31x = 118,437.63
  5. Step 5: Solve for x
    x = 118,437.63/334.31
  6. Step 6: Final answer
    x = 354.28

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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.