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Finding the Fourth Proportional to 641.90, 962.90 and 276.70

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Solution

The fourth proportional to 641.90, 962.90 and 276.70 is: 415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.90 : 962.90 = 276.70 : x
  2. Step 2: Convert to fraction form
    641.90/962.90 = 276.70/x
  3. Step 3: Cross multiply
    641.90x = 962.90 × 276.70
  4. Step 4: Simplify right side
    641.90x = 266,434.43
  5. Step 5: Solve for x
    x = 266,434.43/641.90
  6. Step 6: Final answer
    x = 415.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.