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Finding the Fourth Proportional to 424.34, 635.91 and 241.35

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Solution

The fourth proportional to 424.34, 635.91 and 241.35 is: 361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.34 : 635.91 = 241.35 : x
  2. Step 2: Convert to fraction form
    424.34/635.91 = 241.35/x
  3. Step 3: Cross multiply
    424.34x = 635.91 × 241.35
  4. Step 4: Simplify right side
    424.34x = 153,476.88
  5. Step 5: Solve for x
    x = 153,476.88/424.34
  6. Step 6: Final answer
    x = 361.68

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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.