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Finding the Fourth Proportional to 342.11, 469.04 and 335.96

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Solution

The fourth proportional to 342.11, 469.04 and 335.96 is: 460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.11 : 469.04 = 335.96 : x
  2. Step 2: Convert to fraction form
    342.11/469.04 = 335.96/x
  3. Step 3: Cross multiply
    342.11x = 469.04 × 335.96
  4. Step 4: Simplify right side
    342.11x = 157,578.68
  5. Step 5: Solve for x
    x = 157,578.68/342.11
  6. Step 6: Final answer
    x = 460.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.