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Finding the Fourth Proportional to 641.45, 961.40 and 294.30

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Solution

The fourth proportional to 641.45, 961.40 and 294.30 is: 441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.45 : 961.40 = 294.30 : x
  2. Step 2: Convert to fraction form
    641.45/961.40 = 294.30/x
  3. Step 3: Cross multiply
    641.45x = 961.40 × 294.30
  4. Step 4: Simplify right side
    641.45x = 282,940.76
  5. Step 5: Solve for x
    x = 282,940.76/641.45
  6. Step 6: Final answer
    x = 441.09

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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.