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Finding the Fourth Proportional to 343.36, 470.72 and 335.36

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Solution

The fourth proportional to 343.36, 470.72 and 335.36 is: 459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.36 : 470.72 = 335.36 : x
  2. Step 2: Convert to fraction form
    343.36/470.72 = 335.36/x
  3. Step 3: Cross multiply
    343.36x = 470.72 × 335.36
  4. Step 4: Simplify right side
    343.36x = 157,860.66
  5. Step 5: Solve for x
    x = 157,860.66/343.36
  6. Step 6: Final answer
    x = 459.75

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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.