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Finding the Fourth Proportional to 364.97, 503.64 and 217.62

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Solution

The fourth proportional to 364.97, 503.64 and 217.62 is: 300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.97 : 503.64 = 217.62 : x
  2. Step 2: Convert to fraction form
    364.97/503.64 = 217.62/x
  3. Step 3: Cross multiply
    364.97x = 503.64 × 217.62
  4. Step 4: Simplify right side
    364.97x = 109,602.14
  5. Step 5: Solve for x
    x = 109,602.14/364.97
  6. Step 6: Final answer
    x = 300.30

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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.