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Finding the Fourth Proportional to 462.67, 692.62 and 279.51

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Solution

The fourth proportional to 462.67, 692.62 and 279.51 is: 418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.67 : 692.62 = 279.51 : x
  2. Step 2: Convert to fraction form
    462.67/692.62 = 279.51/x
  3. Step 3: Cross multiply
    462.67x = 692.62 × 279.51
  4. Step 4: Simplify right side
    462.67x = 193,590.92
  5. Step 5: Solve for x
    x = 193,590.92/462.67
  6. Step 6: Final answer
    x = 418.42

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