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Finding the Fourth Proportional to 603.46, 832.77 and 327.46

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Solution

The fourth proportional to 603.46, 832.77 and 327.46 is: 451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.46 : 832.77 = 327.46 : x
  2. Step 2: Convert to fraction form
    603.46/832.77 = 327.46/x
  3. Step 3: Cross multiply
    603.46x = 832.77 × 327.46
  4. Step 4: Simplify right side
    603.46x = 272,698.86
  5. Step 5: Solve for x
    x = 272,698.86/603.46
  6. Step 6: Final answer
    x = 451.89

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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.