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Finding the Fourth Proportional to 504.48, 695.97 and 327.39

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Solution

The fourth proportional to 504.48, 695.97 and 327.39 is: 451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.48 : 695.97 = 327.39 : x
  2. Step 2: Convert to fraction form
    504.48/695.97 = 327.39/x
  3. Step 3: Cross multiply
    504.48x = 695.97 × 327.39
  4. Step 4: Simplify right side
    504.48x = 227,853.62
  5. Step 5: Solve for x
    x = 227,853.62/504.48
  6. Step 6: Final answer
    x = 451.66

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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.