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Finding the Fourth Proportional to 836.91, 1,255.49 and 288.95

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Solution

The fourth proportional to 836.91, 1,255.49 and 288.95 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.91 : 1,255.49 = 288.95 : x
  2. Step 2: Convert to fraction form
    836.91/1,255.49 = 288.95/x
  3. Step 3: Cross multiply
    836.91x = 1,255.49 × 288.95
  4. Step 4: Simplify right side
    836.91x = 362,771.42
  5. Step 5: Solve for x
    x = 362,771.42/836.91
  6. Step 6: Final answer
    x = 433.46

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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.