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Finding the Fourth Proportional to 504.73, 695.87 and 327.38

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Solution

The fourth proportional to 504.73, 695.87 and 327.38 is: 451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.73 : 695.87 = 327.38 : x
  2. Step 2: Convert to fraction form
    504.73/695.87 = 327.38/x
  3. Step 3: Cross multiply
    504.73x = 695.87 × 327.38
  4. Step 4: Simplify right side
    504.73x = 227,813.92
  5. Step 5: Solve for x
    x = 227,813.92/504.73
  6. Step 6: Final answer
    x = 451.36

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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.