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Finding the Fourth Proportional to 364.49, 503.04 and 224.70

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Solution

The fourth proportional to 364.49, 503.04 and 224.70 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.49 : 503.04 = 224.70 : x
  2. Step 2: Convert to fraction form
    364.49/503.04 = 224.70/x
  3. Step 3: Cross multiply
    364.49x = 503.04 × 224.70
  4. Step 4: Simplify right side
    364.49x = 113,033.09
  5. Step 5: Solve for x
    x = 113,033.09/364.49
  6. Step 6: Final answer
    x = 310.11

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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.