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Finding the Fourth Proportional to 364.16, 502.26 and 239.96

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Solution

The fourth proportional to 364.16, 502.26 and 239.96 is: 330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 502.26 = 239.96 : x
  2. Step 2: Convert to fraction form
    364.16/502.26 = 239.96/x
  3. Step 3: Cross multiply
    364.16x = 502.26 × 239.96
  4. Step 4: Simplify right side
    364.16x = 120,522.31
  5. Step 5: Solve for x
    x = 120,522.31/364.16
  6. Step 6: Final answer
    x = 330.96

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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.