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Finding the Fourth Proportional to 755.42, 1,133.34 and 344.21

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Solution

The fourth proportional to 755.42, 1,133.34 and 344.21 is: 516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.42 : 1,133.34 = 344.21 : x
  2. Step 2: Convert to fraction form
    755.42/1,133.34 = 344.21/x
  3. Step 3: Cross multiply
    755.42x = 1,133.34 × 344.21
  4. Step 4: Simplify right side
    755.42x = 390,101.29
  5. Step 5: Solve for x
    x = 390,101.29/755.42
  6. Step 6: Final answer
    x = 516.41

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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.