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Finding the Fourth Proportional to 389.72, 585.27 and 228.42

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Solution

The fourth proportional to 389.72, 585.27 and 228.42 is: 343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.72 : 585.27 = 228.42 : x
  2. Step 2: Convert to fraction form
    389.72/585.27 = 228.42/x
  3. Step 3: Cross multiply
    389.72x = 585.27 × 228.42
  4. Step 4: Simplify right side
    389.72x = 133,687.37
  5. Step 5: Solve for x
    x = 133,687.37/389.72
  6. Step 6: Final answer
    x = 343.03

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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.