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Finding the Fourth Proportional to 365.68, 547.97 and 228.38

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Solution

The fourth proportional to 365.68, 547.97 and 228.38 is: 342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.68 : 547.97 = 228.38 : x
  2. Step 2: Convert to fraction form
    365.68/547.97 = 228.38/x
  3. Step 3: Cross multiply
    365.68x = 547.97 × 228.38
  4. Step 4: Simplify right side
    365.68x = 125,145.39
  5. Step 5: Solve for x
    x = 125,145.39/365.68
  6. Step 6: Final answer
    x = 342.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.