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Finding the Fourth Proportional to 603.26, 832.45 and 341.30

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Solution

The fourth proportional to 603.26, 832.45 and 341.30 is: 470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.26 : 832.45 = 341.30 : x
  2. Step 2: Convert to fraction form
    603.26/832.45 = 341.30/x
  3. Step 3: Cross multiply
    603.26x = 832.45 × 341.30
  4. Step 4: Simplify right side
    603.26x = 284,115.19
  5. Step 5: Solve for x
    x = 284,115.19/603.26
  6. Step 6: Final answer
    x = 470.97

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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.