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Finding the Fourth Proportional to 364.15, 502.25 and 233.09

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Solution

The fourth proportional to 364.15, 502.25 and 233.09 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.15 : 502.25 = 233.09 : x
  2. Step 2: Convert to fraction form
    364.15/502.25 = 233.09/x
  3. Step 3: Cross multiply
    364.15x = 502.25 × 233.09
  4. Step 4: Simplify right side
    364.15x = 117,069.45
  5. Step 5: Solve for x
    x = 117,069.45/364.15
  6. Step 6: Final answer
    x = 321.49

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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.