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Finding the Fourth Proportional to 602.98, 832.12 and 341

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Solution

The fourth proportional to 602.98, 832.12 and 341 is: 470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.98 : 832.12 = 341 : x
  2. Step 2: Convert to fraction form
    602.98/832.12 = 341/x
  3. Step 3: Cross multiply
    602.98x = 832.12 × 341
  4. Step 4: Simplify right side
    602.98x = 283,752.92
  5. Step 5: Solve for x
    x = 283,752.92/602.98
  6. Step 6: Final answer
    x = 470.58

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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.