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Finding the Fourth Proportional to 551.80, 827.67 and 334.92

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Solution

The fourth proportional to 551.80, 827.67 and 334.92 is: 502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.80 : 827.67 = 334.92 : x
  2. Step 2: Convert to fraction form
    551.80/827.67 = 334.92/x
  3. Step 3: Cross multiply
    551.80x = 827.67 × 334.92
  4. Step 4: Simplify right side
    551.80x = 277,207.60
  5. Step 5: Solve for x
    x = 277,207.60/551.80
  6. Step 6: Final answer
    x = 502.37

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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.