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Finding the Fourth Proportional to 364.61, 502.94 and 217.29

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Solution

The fourth proportional to 364.61, 502.94 and 217.29 is: 299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.61 : 502.94 = 217.29 : x
  2. Step 2: Convert to fraction form
    364.61/502.94 = 217.29/x
  3. Step 3: Cross multiply
    364.61x = 502.94 × 217.29
  4. Step 4: Simplify right side
    364.61x = 109,283.83
  5. Step 5: Solve for x
    x = 109,283.83/364.61
  6. Step 6: Final answer
    x = 299.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.