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Finding the Fourth Proportional to 603.10, 832.23 and 341.06

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Solution

The fourth proportional to 603.10, 832.23 and 341.06 is: 470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.10 : 832.23 = 341.06 : x
  2. Step 2: Convert to fraction form
    603.10/832.23 = 341.06/x
  3. Step 3: Cross multiply
    603.10x = 832.23 × 341.06
  4. Step 4: Simplify right side
    603.10x = 283,842.44
  5. Step 5: Solve for x
    x = 283,842.44/603.10
  6. Step 6: Final answer
    x = 470.64

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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.