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Finding the Fourth Proportional to 409.36, 615.03 and 263.39

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Solution

The fourth proportional to 409.36, 615.03 and 263.39 is: 395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.36 : 615.03 = 263.39 : x
  2. Step 2: Convert to fraction form
    409.36/615.03 = 263.39/x
  3. Step 3: Cross multiply
    409.36x = 615.03 × 263.39
  4. Step 4: Simplify right side
    409.36x = 161,991.43
  5. Step 5: Solve for x
    x = 161,991.43/409.36
  6. Step 6: Final answer
    x = 395.72

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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.