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Finding the Fourth Proportional to 603.06, 832.23 and 327.06

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Solution

The fourth proportional to 603.06, 832.23 and 327.06 is: 451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.06 : 832.23 = 327.06 : x
  2. Step 2: Convert to fraction form
    603.06/832.23 = 327.06/x
  3. Step 3: Cross multiply
    603.06x = 832.23 × 327.06
  4. Step 4: Simplify right side
    603.06x = 272,189.14
  5. Step 5: Solve for x
    x = 272,189.14/603.06
  6. Step 6: Final answer
    x = 451.35

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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.