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Finding the Fourth Proportional to 461.93, 692.39 and 227.83

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Solution

The fourth proportional to 461.93, 692.39 and 227.83 is: 341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.93 : 692.39 = 227.83 : x
  2. Step 2: Convert to fraction form
    461.93/692.39 = 227.83/x
  3. Step 3: Cross multiply
    461.93x = 692.39 × 227.83
  4. Step 4: Simplify right side
    461.93x = 157,746.05
  5. Step 5: Solve for x
    x = 157,746.05/461.93
  6. Step 6: Final answer
    x = 341.49

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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.