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Finding the Fourth Proportional to 635.22, 953.04 and 327.42

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Solution

The fourth proportional to 635.22, 953.04 and 327.42 is: 491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.22 : 953.04 = 327.42 : x
  2. Step 2: Convert to fraction form
    635.22/953.04 = 327.42/x
  3. Step 3: Cross multiply
    635.22x = 953.04 × 327.42
  4. Step 4: Simplify right side
    635.22x = 312,044.36
  5. Step 5: Solve for x
    x = 312,044.36/635.22
  6. Step 6: Final answer
    x = 491.24

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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.