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Finding the Fourth Proportional to 364.71, 548.13 and 243.82

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Solution

The fourth proportional to 364.71, 548.13 and 243.82 is: 366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.71 : 548.13 = 243.82 : x
  2. Step 2: Convert to fraction form
    364.71/548.13 = 243.82/x
  3. Step 3: Cross multiply
    364.71x = 548.13 × 243.82
  4. Step 4: Simplify right side
    364.71x = 133,645.06
  5. Step 5: Solve for x
    x = 133,645.06/364.71
  6. Step 6: Final answer
    x = 366.44

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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.