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Finding the Fourth Proportional to 364.85, 503.69 and 224.99

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Solution

The fourth proportional to 364.85, 503.69 and 224.99 is: 310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.85 : 503.69 = 224.99 : x
  2. Step 2: Convert to fraction form
    364.85/503.69 = 224.99/x
  3. Step 3: Cross multiply
    364.85x = 503.69 × 224.99
  4. Step 4: Simplify right side
    364.85x = 113,321.57
  5. Step 5: Solve for x
    x = 113,321.57/364.85
  6. Step 6: Final answer
    x = 310.60

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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.