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Finding the Fourth Proportional to 562.34, 843.19 and 233.03

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Solution

The fourth proportional to 562.34, 843.19 and 233.03 is: 349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.34 : 843.19 = 233.03 : x
  2. Step 2: Convert to fraction form
    562.34/843.19 = 233.03/x
  3. Step 3: Cross multiply
    562.34x = 843.19 × 233.03
  4. Step 4: Simplify right side
    562.34x = 196,490.09
  5. Step 5: Solve for x
    x = 196,490.09/562.34
  6. Step 6: Final answer
    x = 349.41

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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.