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Finding the Fourth Proportional to 488.21, 727.38 and 464.99

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Solution

The fourth proportional to 488.21, 727.38 and 464.99 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.21 : 727.38 = 464.99 : x
  2. Step 2: Convert to fraction form
    488.21/727.38 = 464.99/x
  3. Step 3: Cross multiply
    488.21x = 727.38 × 464.99
  4. Step 4: Simplify right side
    488.21x = 338,224.43
  5. Step 5: Solve for x
    x = 338,224.43/488.21
  6. Step 6: Final answer
    x = 692.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.