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Finding the Fourth Proportional to 641.02, 961.53 and 208.12

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Solution

The fourth proportional to 641.02, 961.53 and 208.12 is: 312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.02 : 961.53 = 208.12 : x
  2. Step 2: Convert to fraction form
    641.02/961.53 = 208.12/x
  3. Step 3: Cross multiply
    641.02x = 961.53 × 208.12
  4. Step 4: Simplify right side
    641.02x = 200,113.62
  5. Step 5: Solve for x
    x = 200,113.62/641.02
  6. Step 6: Final answer
    x = 312.18

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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.