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Finding the Fourth Proportional to 641.99, 962.24 and 349.26

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Solution

The fourth proportional to 641.99, 962.24 and 349.26 is: 523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.99 : 962.24 = 349.26 : x
  2. Step 2: Convert to fraction form
    641.99/962.24 = 349.26/x
  3. Step 3: Cross multiply
    641.99x = 962.24 × 349.26
  4. Step 4: Simplify right side
    641.99x = 336,070.20
  5. Step 5: Solve for x
    x = 336,070.20/641.99
  6. Step 6: Final answer
    x = 523.49

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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.