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Finding the Fourth Proportional to 551.16, 827.16 and 262.68

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Solution

The fourth proportional to 551.16, 827.16 and 262.68 is: 394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.16 : 827.16 = 262.68 : x
  2. Step 2: Convert to fraction form
    551.16/827.16 = 262.68/x
  3. Step 3: Cross multiply
    551.16x = 827.16 × 262.68
  4. Step 4: Simplify right side
    551.16x = 217,278.39
  5. Step 5: Solve for x
    x = 217,278.39/551.16
  6. Step 6: Final answer
    x = 394.22

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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.