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Finding the Fourth Proportional to 562.84, 843.90 and 238

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Solution

The fourth proportional to 562.84, 843.90 and 238 is: 356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.84 : 843.90 = 238 : x
  2. Step 2: Convert to fraction form
    562.84/843.90 = 238/x
  3. Step 3: Cross multiply
    562.84x = 843.90 × 238
  4. Step 4: Simplify right side
    562.84x = 200,848.20
  5. Step 5: Solve for x
    x = 200,848.20/562.84
  6. Step 6: Final answer
    x = 356.85

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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.