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Finding the Fourth Proportional to 424.39, 635.86 and 381.59

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Solution

The fourth proportional to 424.39, 635.86 and 381.59 is: 571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.39 : 635.86 = 381.59 : x
  2. Step 2: Convert to fraction form
    424.39/635.86 = 381.59/x
  3. Step 3: Cross multiply
    424.39x = 635.86 × 381.59
  4. Step 4: Simplify right side
    424.39x = 242,637.82
  5. Step 5: Solve for x
    x = 242,637.82/424.39
  6. Step 6: Final answer
    x = 571.73

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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.