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Finding the Fourth Proportional to 333.89, 460.33 and 255.26

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Solution

The fourth proportional to 333.89, 460.33 and 255.26 is: 351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.89 : 460.33 = 255.26 : x
  2. Step 2: Convert to fraction form
    333.89/460.33 = 255.26/x
  3. Step 3: Cross multiply
    333.89x = 460.33 × 255.26
  4. Step 4: Simplify right side
    333.89x = 117,500.90
  5. Step 5: Solve for x
    x = 117,500.90/333.89
  6. Step 6: Final answer
    x = 351.91

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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.