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Finding the Fourth Proportional to 699.48, 965.41 and 463.43

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Solution

The fourth proportional to 699.48, 965.41 and 463.43 is: 639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.48 : 965.41 = 463.43 : x
  2. Step 2: Convert to fraction form
    699.48/965.41 = 463.43/x
  3. Step 3: Cross multiply
    699.48x = 965.41 × 463.43
  4. Step 4: Simplify right side
    699.48x = 447,399.96
  5. Step 5: Solve for x
    x = 447,399.96/699.48
  6. Step 6: Final answer
    x = 639.62

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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.