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Finding the Fourth Proportional to 618.15, 852.68 and 408.33

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Solution

The fourth proportional to 618.15, 852.68 and 408.33 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.15 : 852.68 = 408.33 : x
  2. Step 2: Convert to fraction form
    618.15/852.68 = 408.33/x
  3. Step 3: Cross multiply
    618.15x = 852.68 × 408.33
  4. Step 4: Simplify right side
    618.15x = 348,172.78
  5. Step 5: Solve for x
    x = 348,172.78/618.15
  6. Step 6: Final answer
    x = 563.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.