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Finding the Fourth Proportional to 333.96, 461.31 and 261.23

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Solution

The fourth proportional to 333.96, 461.31 and 261.23 is: 360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.96 : 461.31 = 261.23 : x
  2. Step 2: Convert to fraction form
    333.96/461.31 = 261.23/x
  3. Step 3: Cross multiply
    333.96x = 461.31 × 261.23
  4. Step 4: Simplify right side
    333.96x = 120,506.19
  5. Step 5: Solve for x
    x = 120,506.19/333.96
  6. Step 6: Final answer
    x = 360.84

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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.