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Finding the Fourth Proportional to 619.10, 927.82 and 228.74

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Solution

The fourth proportional to 619.10, 927.82 and 228.74 is: 342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.10 : 927.82 = 228.74 : x
  2. Step 2: Convert to fraction form
    619.10/927.82 = 228.74/x
  3. Step 3: Cross multiply
    619.10x = 927.82 × 228.74
  4. Step 4: Simplify right side
    619.10x = 212,229.55
  5. Step 5: Solve for x
    x = 212,229.55/619.10
  6. Step 6: Final answer
    x = 342.80

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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.