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Finding the Fourth Proportional to 611.82, 843.03 and 414.99

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Solution

The fourth proportional to 611.82, 843.03 and 414.99 is: 571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.82 : 843.03 = 414.99 : x
  2. Step 2: Convert to fraction form
    611.82/843.03 = 414.99/x
  3. Step 3: Cross multiply
    611.82x = 843.03 × 414.99
  4. Step 4: Simplify right side
    611.82x = 349,849.02
  5. Step 5: Solve for x
    x = 349,849.02/611.82
  6. Step 6: Final answer
    x = 571.82

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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.