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Finding the Fourth Proportional to 365.25, 503.34 and 234.03

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Solution

The fourth proportional to 365.25, 503.34 and 234.03 is: 322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.25 : 503.34 = 234.03 : x
  2. Step 2: Convert to fraction form
    365.25/503.34 = 234.03/x
  3. Step 3: Cross multiply
    365.25x = 503.34 × 234.03
  4. Step 4: Simplify right side
    365.25x = 117,796.66
  5. Step 5: Solve for x
    x = 117,796.66/365.25
  6. Step 6: Final answer
    x = 322.51

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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.