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Finding the Fourth Proportional to 364.34, 502.58 and 233.20

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Solution

The fourth proportional to 364.34, 502.58 and 233.20 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.34 : 502.58 = 233.20 : x
  2. Step 2: Convert to fraction form
    364.34/502.58 = 233.20/x
  3. Step 3: Cross multiply
    364.34x = 502.58 × 233.20
  4. Step 4: Simplify right side
    364.34x = 117,201.66
  5. Step 5: Solve for x
    x = 117,201.66/364.34
  6. Step 6: Final answer
    x = 321.68

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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.