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Finding the Fourth Proportional to 610.83, 843.63 and 414

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Solution

The fourth proportional to 610.83, 843.63 and 414 is: 571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.83 : 843.63 = 414 : x
  2. Step 2: Convert to fraction form
    610.83/843.63 = 414/x
  3. Step 3: Cross multiply
    610.83x = 843.63 × 414
  4. Step 4: Simplify right side
    610.83x = 349,262.82
  5. Step 5: Solve for x
    x = 349,262.82/610.83
  6. Step 6: Final answer
    x = 571.78

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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.