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Finding the Fourth Proportional to 937.23, 1,405.85 and 243.84

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Solution

The fourth proportional to 937.23, 1,405.85 and 243.84 is: 365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.23 : 1,405.85 = 243.84 : x
  2. Step 2: Convert to fraction form
    937.23/1,405.85 = 243.84/x
  3. Step 3: Cross multiply
    937.23x = 1,405.85 × 243.84
  4. Step 4: Simplify right side
    937.23x = 342,801.24
  5. Step 5: Solve for x
    x = 342,801.24/937.23
  6. Step 6: Final answer
    x = 365.76

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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.