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Finding the Fourth Proportional to 641.64, 962.46 and 352.92

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Solution

The fourth proportional to 641.64, 962.46 and 352.92 is: 529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.64 : 962.46 = 352.92 : x
  2. Step 2: Convert to fraction form
    641.64/962.46 = 352.92/x
  3. Step 3: Cross multiply
    641.64x = 962.46 × 352.92
  4. Step 4: Simplify right side
    641.64x = 339,671.38
  5. Step 5: Solve for x
    x = 339,671.38/641.64
  6. Step 6: Final answer
    x = 529.38

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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.