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Finding the Fourth Proportional to 602.94, 832.06 and 341.04

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Solution

The fourth proportional to 602.94, 832.06 and 341.04 is: 470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 832.06 = 341.04 : x
  2. Step 2: Convert to fraction form
    602.94/832.06 = 341.04/x
  3. Step 3: Cross multiply
    602.94x = 832.06 × 341.04
  4. Step 4: Simplify right side
    602.94x = 283,764.04
  5. Step 5: Solve for x
    x = 283,764.04/602.94
  6. Step 6: Final answer
    x = 470.63

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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.