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Finding the Fourth Proportional to 468.59, 699.10 and 422.42

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Solution

The fourth proportional to 468.59, 699.10 and 422.42 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 699.10 = 422.42 : x
  2. Step 2: Convert to fraction form
    468.59/699.10 = 422.42/x
  3. Step 3: Cross multiply
    468.59x = 699.10 × 422.42
  4. Step 4: Simplify right side
    468.59x = 295,309.27
  5. Step 5: Solve for x
    x = 295,309.27/468.59
  6. Step 6: Final answer
    x = 630.21

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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.