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Finding the Fourth Proportional to 364.43, 502.98 and 224.66

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Solution

The fourth proportional to 364.43, 502.98 and 224.66 is: 310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.43 : 502.98 = 224.66 : x
  2. Step 2: Convert to fraction form
    364.43/502.98 = 224.66/x
  3. Step 3: Cross multiply
    364.43x = 502.98 × 224.66
  4. Step 4: Simplify right side
    364.43x = 112,999.49
  5. Step 5: Solve for x
    x = 112,999.49/364.43
  6. Step 6: Final answer
    x = 310.07

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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.