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Finding the Fourth Proportional to 551.86, 827.36 and 277.82

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Solution

The fourth proportional to 551.86, 827.36 and 277.82 is: 416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.86 : 827.36 = 277.82 : x
  2. Step 2: Convert to fraction form
    551.86/827.36 = 277.82/x
  3. Step 3: Cross multiply
    551.86x = 827.36 × 277.82
  4. Step 4: Simplify right side
    551.86x = 229,857.16
  5. Step 5: Solve for x
    x = 229,857.16/551.86
  6. Step 6: Final answer
    x = 416.51

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Double scale
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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.