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Finding the Fourth Proportional to 562.62, 843.93 and 238.21

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Solution

The fourth proportional to 562.62, 843.93 and 238.21 is: 357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.62 : 843.93 = 238.21 : x
  2. Step 2: Convert to fraction form
    562.62/843.93 = 238.21/x
  3. Step 3: Cross multiply
    562.62x = 843.93 × 238.21
  4. Step 4: Simplify right side
    562.62x = 201,032.57
  5. Step 5: Solve for x
    x = 201,032.57/562.62
  6. Step 6: Final answer
    x = 357.32

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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.