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Finding the Fourth Proportional to 603.23, 832.29 and 341.24

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Solution

The fourth proportional to 603.23, 832.29 and 341.24 is: 470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.23 : 832.29 = 341.24 : x
  2. Step 2: Convert to fraction form
    603.23/832.29 = 341.24/x
  3. Step 3: Cross multiply
    603.23x = 832.29 × 341.24
  4. Step 4: Simplify right side
    603.23x = 284,010.64
  5. Step 5: Solve for x
    x = 284,010.64/603.23
  6. Step 6: Final answer
    x = 470.82

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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.