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Finding the Fourth Proportional to 364.21, 502.14 and 232.99

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Solution

The fourth proportional to 364.21, 502.14 and 232.99 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.21 : 502.14 = 232.99 : x
  2. Step 2: Convert to fraction form
    364.21/502.14 = 232.99/x
  3. Step 3: Cross multiply
    364.21x = 502.14 × 232.99
  4. Step 4: Simplify right side
    364.21x = 116,993.60
  5. Step 5: Solve for x
    x = 116,993.60/364.21
  6. Step 6: Final answer
    x = 321.23

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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.