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Finding the Fourth Proportional to 462.29, 692.67 and 230.84

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Solution

The fourth proportional to 462.29, 692.67 and 230.84 is: 345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.29 : 692.67 = 230.84 : x
  2. Step 2: Convert to fraction form
    462.29/692.67 = 230.84/x
  3. Step 3: Cross multiply
    462.29x = 692.67 × 230.84
  4. Step 4: Simplify right side
    462.29x = 159,892.48
  5. Step 5: Solve for x
    x = 159,892.48/462.29
  6. Step 6: Final answer
    x = 345.87

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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.