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Finding the Fourth Proportional to 551.97, 827.00 and 335.08

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Solution

The fourth proportional to 551.97, 827.00 and 335.08 is: 502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.97 : 827.00 = 335.08 : x
  2. Step 2: Convert to fraction form
    551.97/827.00 = 335.08/x
  3. Step 3: Cross multiply
    551.97x = 827.00 × 335.08
  4. Step 4: Simplify right side
    551.97x = 277,109.48
  5. Step 5: Solve for x
    x = 277,109.48/551.97
  6. Step 6: Final answer
    x = 502.04

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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.