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Finding the Fourth Proportional to 841.41, 1,261.22 and 321.08

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Solution

The fourth proportional to 841.41, 1,261.22 and 321.08 is: 481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.41 : 1,261.22 = 321.08 : x
  2. Step 2: Convert to fraction form
    841.41/1,261.22 = 321.08/x
  3. Step 3: Cross multiply
    841.41x = 1,261.22 × 321.08
  4. Step 4: Simplify right side
    841.41x = 404,946.21
  5. Step 5: Solve for x
    x = 404,946.21/841.41
  6. Step 6: Final answer
    x = 481.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.