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Finding the Fourth Proportional to 551.90, 827.85 and 343.10

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Solution

The fourth proportional to 551.90, 827.85 and 343.10 is: 514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 827.85 = 343.10 : x
  2. Step 2: Convert to fraction form
    551.90/827.85 = 343.10/x
  3. Step 3: Cross multiply
    551.90x = 827.85 × 343.10
  4. Step 4: Simplify right side
    551.90x = 284,035.34
  5. Step 5: Solve for x
    x = 284,035.34/551.90
  6. Step 6: Final answer
    x = 514.65

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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.