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Finding the Fourth Proportional to 641.64, 962.06 and 353.28

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Solution

The fourth proportional to 641.64, 962.06 and 353.28 is: 529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.64 : 962.06 = 353.28 : x
  2. Step 2: Convert to fraction form
    641.64/962.06 = 353.28/x
  3. Step 3: Cross multiply
    641.64x = 962.06 × 353.28
  4. Step 4: Simplify right side
    641.64x = 339,874.79
  5. Step 5: Solve for x
    x = 339,874.79/641.64
  6. Step 6: Final answer
    x = 529.70

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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.