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Finding the Fourth Proportional to 366.51, 549.24 and 323.09

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Solution

The fourth proportional to 366.51, 549.24 and 323.09 is: 484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.51 : 549.24 = 323.09 : x
  2. Step 2: Convert to fraction form
    366.51/549.24 = 323.09/x
  3. Step 3: Cross multiply
    366.51x = 549.24 × 323.09
  4. Step 4: Simplify right side
    366.51x = 177,451.21
  5. Step 5: Solve for x
    x = 177,451.21/366.51
  6. Step 6: Final answer
    x = 484.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.