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Finding the Fourth Proportional to 641.40, 962.12 and 276.22

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Solution

The fourth proportional to 641.40, 962.12 and 276.22 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.40 : 962.12 = 276.22 : x
  2. Step 2: Convert to fraction form
    641.40/962.12 = 276.22/x
  3. Step 3: Cross multiply
    641.40x = 962.12 × 276.22
  4. Step 4: Simplify right side
    641.40x = 265,756.79
  5. Step 5: Solve for x
    x = 265,756.79/641.40
  6. Step 6: Final answer
    x = 414.34

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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.