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Finding the Fourth Proportional to 641.57, 961.47 and 294.08

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Solution

The fourth proportional to 641.57, 961.47 and 294.08 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.57 : 961.47 = 294.08 : x
  2. Step 2: Convert to fraction form
    641.57/961.47 = 294.08/x
  3. Step 3: Cross multiply
    641.57x = 961.47 × 294.08
  4. Step 4: Simplify right side
    641.57x = 282,744.29
  5. Step 5: Solve for x
    x = 282,744.29/641.57
  6. Step 6: Final answer
    x = 440.71

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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.