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Finding the Fourth Proportional to 936.48, 1,404.76 and 252.48

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Solution

The fourth proportional to 936.48, 1,404.76 and 252.48 is: 378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.48 : 1,404.76 = 252.48 : x
  2. Step 2: Convert to fraction form
    936.48/1,404.76 = 252.48/x
  3. Step 3: Cross multiply
    936.48x = 1,404.76 × 252.48
  4. Step 4: Simplify right side
    936.48x = 354,673.80
  5. Step 5: Solve for x
    x = 354,673.80/936.48
  6. Step 6: Final answer
    x = 378.73

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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.