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Finding the Fourth Proportional to 937.11, 1,405.34 and 381.68

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Solution

The fourth proportional to 937.11, 1,405.34 and 381.68 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.11 : 1,405.34 = 381.68 : x
  2. Step 2: Convert to fraction form
    937.11/1,405.34 = 381.68/x
  3. Step 3: Cross multiply
    937.11x = 1,405.34 × 381.68
  4. Step 4: Simplify right side
    937.11x = 536,390.17
  5. Step 5: Solve for x
    x = 536,390.17/937.11
  6. Step 6: Final answer
    x = 572.39

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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.