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Finding the Fourth Proportional to 937.26, 1,405.51 and 344.14

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Solution

The fourth proportional to 937.26, 1,405.51 and 344.14 is: 516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.26 : 1,405.51 = 344.14 : x
  2. Step 2: Convert to fraction form
    937.26/1,405.51 = 344.14/x
  3. Step 3: Cross multiply
    937.26x = 1,405.51 × 344.14
  4. Step 4: Simplify right side
    937.26x = 483,692.21
  5. Step 5: Solve for x
    x = 483,692.21/937.26
  6. Step 6: Final answer
    x = 516.07

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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.