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Finding the Fourth Proportional to 461.86, 692.83 and 230.51

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Solution

The fourth proportional to 461.86, 692.83 and 230.51 is: 345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.86 : 692.83 = 230.51 : x
  2. Step 2: Convert to fraction form
    461.86/692.83 = 230.51/x
  3. Step 3: Cross multiply
    461.86x = 692.83 × 230.51
  4. Step 4: Simplify right side
    461.86x = 159,703.09
  5. Step 5: Solve for x
    x = 159,703.09/461.86
  6. Step 6: Final answer
    x = 345.78

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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.