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Finding the Fourth Proportional to 364.46, 502.84 and 224.53

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Solution

The fourth proportional to 364.46, 502.84 and 224.53 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.46 : 502.84 = 224.53 : x
  2. Step 2: Convert to fraction form
    364.46/502.84 = 224.53/x
  3. Step 3: Cross multiply
    364.46x = 502.84 × 224.53
  4. Step 4: Simplify right side
    364.46x = 112,901.57
  5. Step 5: Solve for x
    x = 112,901.57/364.46
  6. Step 6: Final answer
    x = 309.78

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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.