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Finding the Fourth Proportional to 603.14, 832.34 and 341.21

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Solution

The fourth proportional to 603.14, 832.34 and 341.21 is: 470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.14 : 832.34 = 341.21 : x
  2. Step 2: Convert to fraction form
    603.14/832.34 = 341.21/x
  3. Step 3: Cross multiply
    603.14x = 832.34 × 341.21
  4. Step 4: Simplify right side
    603.14x = 283,996.86
  5. Step 5: Solve for x
    x = 283,996.86/603.14
  6. Step 6: Final answer
    x = 470.87

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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.