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Finding the Fourth Proportional to 611.25, 843.57 and 378.42

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Solution

The fourth proportional to 611.25, 843.57 and 378.42 is: 522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.25 : 843.57 = 378.42 : x
  2. Step 2: Convert to fraction form
    611.25/843.57 = 378.42/x
  3. Step 3: Cross multiply
    611.25x = 843.57 × 378.42
  4. Step 4: Simplify right side
    611.25x = 319,223.76
  5. Step 5: Solve for x
    x = 319,223.76/611.25
  6. Step 6: Final answer
    x = 522.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.