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Finding the Fourth Proportional to 551.70, 827.07 and 277.41

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Solution

The fourth proportional to 551.70, 827.07 and 277.41 is: 415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.70 : 827.07 = 277.41 : x
  2. Step 2: Convert to fraction form
    551.70/827.07 = 277.41/x
  3. Step 3: Cross multiply
    551.70x = 827.07 × 277.41
  4. Step 4: Simplify right side
    551.70x = 229,437.49
  5. Step 5: Solve for x
    x = 229,437.49/551.70
  6. Step 6: Final answer
    x = 415.87

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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.