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Finding the Fourth Proportional to 364.46, 502.94 and 217.09

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Solution

The fourth proportional to 364.46, 502.94 and 217.09 is: 299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.46 : 502.94 = 217.09 : x
  2. Step 2: Convert to fraction form
    364.46/502.94 = 217.09/x
  3. Step 3: Cross multiply
    364.46x = 502.94 × 217.09
  4. Step 4: Simplify right side
    364.46x = 109,182.53
  5. Step 5: Solve for x
    x = 109,182.53/364.46
  6. Step 6: Final answer
    x = 299.57

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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.