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Finding the Fourth Proportional to 468.80, 646.44 and 464.12

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Solution

The fourth proportional to 468.80, 646.44 and 464.12 is: 639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.80 : 646.44 = 464.12 : x
  2. Step 2: Convert to fraction form
    468.80/646.44 = 464.12/x
  3. Step 3: Cross multiply
    468.80x = 646.44 × 464.12
  4. Step 4: Simplify right side
    468.80x = 300,025.73
  5. Step 5: Solve for x
    x = 300,025.73/468.80
  6. Step 6: Final answer
    x = 639.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.