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Finding the Fourth Proportional to 364.14, 502.29 and 224.31

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Solution

The fourth proportional to 364.14, 502.29 and 224.31 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 502.29 = 224.31 : x
  2. Step 2: Convert to fraction form
    364.14/502.29 = 224.31/x
  3. Step 3: Cross multiply
    364.14x = 502.29 × 224.31
  4. Step 4: Simplify right side
    364.14x = 112,668.67
  5. Step 5: Solve for x
    x = 112,668.67/364.14
  6. Step 6: Final answer
    x = 309.41

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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.