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Finding the Fourth Proportional to 364.08, 502.50 and 224.29

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Solution

The fourth proportional to 364.08, 502.50 and 224.29 is: 309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 502.50 = 224.29 : x
  2. Step 2: Convert to fraction form
    364.08/502.50 = 224.29/x
  3. Step 3: Cross multiply
    364.08x = 502.50 × 224.29
  4. Step 4: Simplify right side
    364.08x = 112,705.73
  5. Step 5: Solve for x
    x = 112,705.73/364.08
  6. Step 6: Final answer
    x = 309.56

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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.