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Finding the Fourth Proportional to 335.41, 504.98 and 262.68

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Solution

The fourth proportional to 335.41, 504.98 and 262.68 is: 395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.41 : 504.98 = 262.68 : x
  2. Step 2: Convert to fraction form
    335.41/504.98 = 262.68/x
  3. Step 3: Cross multiply
    335.41x = 504.98 × 262.68
  4. Step 4: Simplify right side
    335.41x = 132,648.15
  5. Step 5: Solve for x
    x = 132,648.15/335.41
  6. Step 6: Final answer
    x = 395.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.