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Finding the Fourth Proportional to 424.62, 636.93 and 381.42

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Solution

The fourth proportional to 424.62, 636.93 and 381.42 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.62 : 636.93 = 381.42 : x
  2. Step 2: Convert to fraction form
    424.62/636.93 = 381.42/x
  3. Step 3: Cross multiply
    424.62x = 636.93 × 381.42
  4. Step 4: Simplify right side
    424.62x = 242,937.84
  5. Step 5: Solve for x
    x = 242,937.84/424.62
  6. Step 6: Final answer
    x = 572.13

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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.