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Finding the Fourth Proportional to 365.28, 503.87 and 234.28

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Solution

The fourth proportional to 365.28, 503.87 and 234.28 is: 323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 503.87 = 234.28 : x
  2. Step 2: Convert to fraction form
    365.28/503.87 = 234.28/x
  3. Step 3: Cross multiply
    365.28x = 503.87 × 234.28
  4. Step 4: Simplify right side
    365.28x = 118,046.66
  5. Step 5: Solve for x
    x = 118,046.66/365.28
  6. Step 6: Final answer
    x = 323.17

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