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Finding the Fourth Proportional to 936.76, 1,405.36 and 287.49

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Solution

The fourth proportional to 936.76, 1,405.36 and 287.49 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.76 : 1,405.36 = 287.49 : x
  2. Step 2: Convert to fraction form
    936.76/1,405.36 = 287.49/x
  3. Step 3: Cross multiply
    936.76x = 1,405.36 × 287.49
  4. Step 4: Simplify right side
    936.76x = 404,026.95
  5. Step 5: Solve for x
    x = 404,026.95/936.76
  6. Step 6: Final answer
    x = 431.30

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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.