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Finding the Fourth Proportional to 610.96, 843.36 and 414.56

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Solution

The fourth proportional to 610.96, 843.36 and 414.56 is: 572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.96 : 843.36 = 414.56 : x
  2. Step 2: Convert to fraction form
    610.96/843.36 = 414.56/x
  3. Step 3: Cross multiply
    610.96x = 843.36 × 414.56
  4. Step 4: Simplify right side
    610.96x = 349,623.32
  5. Step 5: Solve for x
    x = 349,623.32/610.96
  6. Step 6: Final answer
    x = 572.25

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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.