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Finding the Fourth Proportional to 364, 502.32 and 233.14

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Solution

The fourth proportional to 364, 502.32 and 233.14 is: 321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 502.32 = 233.14 : x
  2. Step 2: Convert to fraction form
    364/502.32 = 233.14/x
  3. Step 3: Cross multiply
    364x = 502.32 × 233.14
  4. Step 4: Simplify right side
    364x = 117,110.88
  5. Step 5: Solve for x
    x = 117,110.88/364
  6. Step 6: Final answer
    x = 321.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.