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Finding the Fourth Proportional to 841.21, 1,261.92 and 293.23

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Solution

The fourth proportional to 841.21, 1,261.92 and 293.23 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.21 : 1,261.92 = 293.23 : x
  2. Step 2: Convert to fraction form
    841.21/1,261.92 = 293.23/x
  3. Step 3: Cross multiply
    841.21x = 1,261.92 × 293.23
  4. Step 4: Simplify right side
    841.21x = 370,032.80
  5. Step 5: Solve for x
    x = 370,032.80/841.21
  6. Step 6: Final answer
    x = 439.88

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