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Finding the Fourth Proportional to 364.70, 503.27 and 224.83

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Solution

The fourth proportional to 364.70, 503.27 and 224.83 is: 310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.70 : 503.27 = 224.83 : x
  2. Step 2: Convert to fraction form
    364.70/503.27 = 224.83/x
  3. Step 3: Cross multiply
    364.70x = 503.27 × 224.83
  4. Step 4: Simplify right side
    364.70x = 113,146.55
  5. Step 5: Solve for x
    x = 113,146.55/364.70
  6. Step 6: Final answer
    x = 310.25

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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.