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Finding the Fourth Proportional to 618.36, 853.06 and 408.48

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Solution

The fourth proportional to 618.36, 853.06 and 408.48 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.36 : 853.06 = 408.48 : x
  2. Step 2: Convert to fraction form
    618.36/853.06 = 408.48/x
  3. Step 3: Cross multiply
    618.36x = 853.06 × 408.48
  4. Step 4: Simplify right side
    618.36x = 348,457.95
  5. Step 5: Solve for x
    x = 348,457.95/618.36
  6. Step 6: Final answer
    x = 563.52

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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.