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Finding the Fourth Proportional to 364.14, 502.61 and 224.46

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Solution

The fourth proportional to 364.14, 502.61 and 224.46 is: 309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 502.61 = 224.46 : x
  2. Step 2: Convert to fraction form
    364.14/502.61 = 224.46/x
  3. Step 3: Cross multiply
    364.14x = 502.61 × 224.46
  4. Step 4: Simplify right side
    364.14x = 112,814.72
  5. Step 5: Solve for x
    x = 112,814.72/364.14
  6. Step 6: Final answer
    x = 309.81

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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.