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Finding the Fourth Proportional to 827.71, 1,241.41 and 242.58

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Solution

The fourth proportional to 827.71, 1,241.41 and 242.58 is: 363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.71 : 1,241.41 = 242.58 : x
  2. Step 2: Convert to fraction form
    827.71/1,241.41 = 242.58/x
  3. Step 3: Cross multiply
    827.71x = 1,241.41 × 242.58
  4. Step 4: Simplify right side
    827.71x = 301,140.63
  5. Step 5: Solve for x
    x = 301,140.63/827.71
  6. Step 6: Final answer
    x = 363.82

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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.