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Finding the Fourth Proportional to 936.38, 1,404.46 and 287.12

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Solution

The fourth proportional to 936.38, 1,404.46 and 287.12 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.38 : 1,404.46 = 287.12 : x
  2. Step 2: Convert to fraction form
    936.38/1,404.46 = 287.12/x
  3. Step 3: Cross multiply
    936.38x = 1,404.46 × 287.12
  4. Step 4: Simplify right side
    936.38x = 403,248.56
  5. Step 5: Solve for x
    x = 403,248.56/936.38
  6. Step 6: Final answer
    x = 430.65

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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.