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Finding the Fourth Proportional to 366.12, 504.16 and 319.44

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Solution

The fourth proportional to 366.12, 504.16 and 319.44 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.12 : 504.16 = 319.44 : x
  2. Step 2: Convert to fraction form
    366.12/504.16 = 319.44/x
  3. Step 3: Cross multiply
    366.12x = 504.16 × 319.44
  4. Step 4: Simplify right side
    366.12x = 161,048.87
  5. Step 5: Solve for x
    x = 161,048.87/366.12
  6. Step 6: Final answer
    x = 439.88

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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.