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Finding the Fourth Proportional to 364, 502.11 and 224.19

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Solution

The fourth proportional to 364, 502.11 and 224.19 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 502.11 = 224.19 : x
  2. Step 2: Convert to fraction form
    364/502.11 = 224.19/x
  3. Step 3: Cross multiply
    364x = 502.11 × 224.19
  4. Step 4: Simplify right side
    364x = 112,568.04
  5. Step 5: Solve for x
    x = 112,568.04/364
  6. Step 6: Final answer
    x = 309.25

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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.