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Finding the Fourth Proportional to 611.71, 843.82 and 414.88

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Solution

The fourth proportional to 611.71, 843.82 and 414.88 is: 572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.71 : 843.82 = 414.88 : x
  2. Step 2: Convert to fraction form
    611.71/843.82 = 414.88/x
  3. Step 3: Cross multiply
    611.71x = 843.82 × 414.88
  4. Step 4: Simplify right side
    611.71x = 350,080.89
  5. Step 5: Solve for x
    x = 350,080.89/611.71
  6. Step 6: Final answer
    x = 572.30

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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.