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Finding the Fourth Proportional to 463.68, 694.80 and 189.54

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Solution

The fourth proportional to 463.68, 694.80 and 189.54 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.68 : 694.80 = 189.54 : x
  2. Step 2: Convert to fraction form
    463.68/694.80 = 189.54/x
  3. Step 3: Cross multiply
    463.68x = 694.80 × 189.54
  4. Step 4: Simplify right side
    463.68x = 131,692.39
  5. Step 5: Solve for x
    x = 131,692.39/463.68
  6. Step 6: Final answer
    x = 284.02

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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.