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Finding the Fourth Proportional to 364.49, 503.00 and 217.13

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Solution

The fourth proportional to 364.49, 503.00 and 217.13 is: 299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.49 : 503.00 = 217.13 : x
  2. Step 2: Convert to fraction form
    364.49/503.00 = 217.13/x
  3. Step 3: Cross multiply
    364.49x = 503.00 × 217.13
  4. Step 4: Simplify right side
    364.49x = 109,212.79
  5. Step 5: Solve for x
    x = 109,212.79/364.49
  6. Step 6: Final answer
    x = 299.63

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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.