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Finding the Fourth Proportional to 611.35, 843.79 and 414.93

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Solution

The fourth proportional to 611.35, 843.79 and 414.93 is: 572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.35 : 843.79 = 414.93 : x
  2. Step 2: Convert to fraction form
    611.35/843.79 = 414.93/x
  3. Step 3: Cross multiply
    611.35x = 843.79 × 414.93
  4. Step 4: Simplify right side
    611.35x = 350,113.78
  5. Step 5: Solve for x
    x = 350,113.78/611.35
  6. Step 6: Final answer
    x = 572.69

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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.