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Finding the Fourth Proportional to 551.88, 827.47 and 243.87

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Solution

The fourth proportional to 551.88, 827.47 and 243.87 is: 365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.88 : 827.47 = 243.87 : x
  2. Step 2: Convert to fraction form
    551.88/827.47 = 243.87/x
  3. Step 3: Cross multiply
    551.88x = 827.47 × 243.87
  4. Step 4: Simplify right side
    551.88x = 201,795.11
  5. Step 5: Solve for x
    x = 201,795.11/551.88
  6. Step 6: Final answer
    x = 365.65

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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.