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Finding the Fourth Proportional to 602.97, 832.11 and 341

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Solution

The fourth proportional to 602.97, 832.11 and 341 is: 470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 832.11 = 341 : x
  2. Step 2: Convert to fraction form
    602.97/832.11 = 341/x
  3. Step 3: Cross multiply
    602.97x = 832.11 × 341
  4. Step 4: Simplify right side
    602.97x = 283,750.36
  5. Step 5: Solve for x
    x = 283,750.36/602.97
  6. Step 6: Final answer
    x = 470.59

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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.