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Finding the Fourth Proportional to 610.84, 843.06 and 414.22

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Solution

The fourth proportional to 610.84, 843.06 and 414.22 is: 571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.84 : 843.06 = 414.22 : x
  2. Step 2: Convert to fraction form
    610.84/843.06 = 414.22/x
  3. Step 3: Cross multiply
    610.84x = 843.06 × 414.22
  4. Step 4: Simplify right side
    610.84x = 349,212.31
  5. Step 5: Solve for x
    x = 349,212.31/610.84
  6. Step 6: Final answer
    x = 571.69

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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.