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Finding the Fourth Proportional to 836.38, 1,253.80 and 288.44

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Solution

The fourth proportional to 836.38, 1,253.80 and 288.44 is: 432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.38 : 1,253.80 = 288.44 : x
  2. Step 2: Convert to fraction form
    836.38/1,253.80 = 288.44/x
  3. Step 3: Cross multiply
    836.38x = 1,253.80 × 288.44
  4. Step 4: Simplify right side
    836.38x = 361,639.08
  5. Step 5: Solve for x
    x = 361,639.08/836.38
  6. Step 6: Final answer
    x = 432.39

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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.