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Finding the Fourth Proportional to 504.24, 695.50 and 327.28

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Solution

The fourth proportional to 504.24, 695.50 and 327.28 is: 451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 695.50 = 327.28 : x
  2. Step 2: Convert to fraction form
    504.24/695.50 = 327.28/x
  3. Step 3: Cross multiply
    504.24x = 695.50 × 327.28
  4. Step 4: Simplify right side
    504.24x = 227,623.24
  5. Step 5: Solve for x
    x = 227,623.24/504.24
  6. Step 6: Final answer
    x = 451.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.