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Finding the Fourth Proportional to 364.97, 503.57 and 217.61

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Solution

The fourth proportional to 364.97, 503.57 and 217.61 is: 300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.97 : 503.57 = 217.61 : x
  2. Step 2: Convert to fraction form
    364.97/503.57 = 217.61/x
  3. Step 3: Cross multiply
    364.97x = 503.57 × 217.61
  4. Step 4: Simplify right side
    364.97x = 109,578.26
  5. Step 5: Solve for x
    x = 109,578.26/364.97
  6. Step 6: Final answer
    x = 300.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.