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Finding the Fourth Proportional to 409.94, 566.44 and 323.28

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Solution

The fourth proportional to 409.94, 566.44 and 323.28 is: 446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.94 : 566.44 = 323.28 : x
  2. Step 2: Convert to fraction form
    409.94/566.44 = 323.28/x
  3. Step 3: Cross multiply
    409.94x = 566.44 × 323.28
  4. Step 4: Simplify right side
    409.94x = 183,118.72
  5. Step 5: Solve for x
    x = 183,118.72/409.94
  6. Step 6: Final answer
    x = 446.70

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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.