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Finding the Fourth Proportional to 610.96, 843.16 and 378.08

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Solution

The fourth proportional to 610.96, 843.16 and 378.08 is: 521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.96 : 843.16 = 378.08 : x
  2. Step 2: Convert to fraction form
    610.96/843.16 = 378.08/x
  3. Step 3: Cross multiply
    610.96x = 843.16 × 378.08
  4. Step 4: Simplify right side
    610.96x = 318,781.93
  5. Step 5: Solve for x
    x = 318,781.93/610.96
  6. Step 6: Final answer
    x = 521.77

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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.