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Finding the Fourth Proportional to 424.44, 635.16 and 361.08

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Solution

The fourth proportional to 424.44, 635.16 and 361.08 is: 540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.44 : 635.16 = 361.08 : x
  2. Step 2: Convert to fraction form
    424.44/635.16 = 361.08/x
  3. Step 3: Cross multiply
    424.44x = 635.16 × 361.08
  4. Step 4: Simplify right side
    424.44x = 229,343.57
  5. Step 5: Solve for x
    x = 229,343.57/424.44
  6. Step 6: Final answer
    x = 540.34

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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.