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Finding the Fourth Proportional to 639.69, 959.63 and 228.71

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Solution

The fourth proportional to 639.69, 959.63 and 228.71 is: 343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.69 : 959.63 = 228.71 : x
  2. Step 2: Convert to fraction form
    639.69/959.63 = 228.71/x
  3. Step 3: Cross multiply
    639.69x = 959.63 × 228.71
  4. Step 4: Simplify right side
    639.69x = 219,476.98
  5. Step 5: Solve for x
    x = 219,476.98/639.69
  6. Step 6: Final answer
    x = 343.10

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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.