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Finding the Fourth Proportional to 364.64, 503.18 and 217.27

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Solution

The fourth proportional to 364.64, 503.18 and 217.27 is: 299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.64 : 503.18 = 217.27 : x
  2. Step 2: Convert to fraction form
    364.64/503.18 = 217.27/x
  3. Step 3: Cross multiply
    364.64x = 503.18 × 217.27
  4. Step 4: Simplify right side
    364.64x = 109,323.45
  5. Step 5: Solve for x
    x = 109,323.45/364.64
  6. Step 6: Final answer
    x = 299.82

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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.