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Finding the Fourth Proportional to 285.87, 428.27 and 228.09

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Solution

The fourth proportional to 285.87, 428.27 and 228.09 is: 341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.87 : 428.27 = 228.09 : x
  2. Step 2: Convert to fraction form
    285.87/428.27 = 228.09/x
  3. Step 3: Cross multiply
    285.87x = 428.27 × 228.09
  4. Step 4: Simplify right side
    285.87x = 97,682.96
  5. Step 5: Solve for x
    x = 97,682.96/285.87
  6. Step 6: Final answer
    x = 341.70

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Why These Related Problems?

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