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Finding the Fourth Proportional to 364.51, 502.81 and 224.69

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Solution

The fourth proportional to 364.51, 502.81 and 224.69 is: 309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.51 : 502.81 = 224.69 : x
  2. Step 2: Convert to fraction form
    364.51/502.81 = 224.69/x
  3. Step 3: Cross multiply
    364.51x = 502.81 × 224.69
  4. Step 4: Simplify right side
    364.51x = 112,976.38
  5. Step 5: Solve for x
    x = 112,976.38/364.51
  6. Step 6: Final answer
    x = 309.94

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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.