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Finding the Fourth Proportional to 462.71, 692.99 and 279.70

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Solution

The fourth proportional to 462.71, 692.99 and 279.70 is: 418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.71 : 692.99 = 279.70 : x
  2. Step 2: Convert to fraction form
    462.71/692.99 = 279.70/x
  3. Step 3: Cross multiply
    462.71x = 692.99 × 279.70
  4. Step 4: Simplify right side
    462.71x = 193,829.30
  5. Step 5: Solve for x
    x = 193,829.30/462.71
  6. Step 6: Final answer
    x = 418.90

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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.