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Finding the Fourth Proportional to 365.08, 503.89 and 232.27

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Solution

The fourth proportional to 365.08, 503.89 and 232.27 is: 320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.08 : 503.89 = 232.27 : x
  2. Step 2: Convert to fraction form
    365.08/503.89 = 232.27/x
  3. Step 3: Cross multiply
    365.08x = 503.89 × 232.27
  4. Step 4: Simplify right side
    365.08x = 117,038.53
  5. Step 5: Solve for x
    x = 117,038.53/365.08
  6. Step 6: Final answer
    x = 320.59

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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.