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Finding the Fourth Proportional to 343.13, 514.67 and 233.33

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Solution

The fourth proportional to 343.13, 514.67 and 233.33 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.13 : 514.67 = 233.33 : x
  2. Step 2: Convert to fraction form
    343.13/514.67 = 233.33/x
  3. Step 3: Cross multiply
    343.13x = 514.67 × 233.33
  4. Step 4: Simplify right side
    343.13x = 120,084.21
  5. Step 5: Solve for x
    x = 120,084.21/343.13
  6. Step 6: Final answer
    x = 349.97

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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.