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Finding the Fourth Proportional to 641.60, 960.60 and 496.40

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Solution

The fourth proportional to 641.60, 960.60 and 496.40 is: 743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.60 : 960.60 = 496.40 : x
  2. Step 2: Convert to fraction form
    641.60/960.60 = 496.40/x
  3. Step 3: Cross multiply
    641.60x = 960.60 × 496.40
  4. Step 4: Simplify right side
    641.60x = 476,841.84
  5. Step 5: Solve for x
    x = 476,841.84/641.60
  6. Step 6: Final answer
    x = 743.21

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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.