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Finding the Fourth Proportional to 365.31, 503.28 and 234.09

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Solution

The fourth proportional to 365.31, 503.28 and 234.09 is: 322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 503.28 = 234.09 : x
  2. Step 2: Convert to fraction form
    365.31/503.28 = 234.09/x
  3. Step 3: Cross multiply
    365.31x = 503.28 × 234.09
  4. Step 4: Simplify right side
    365.31x = 117,812.82
  5. Step 5: Solve for x
    x = 117,812.82/365.31
  6. Step 6: Final answer
    x = 322.50

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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.