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Finding the Fourth Proportional to 618.64, 853.36 and 408.82

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Solution

The fourth proportional to 618.64, 853.36 and 408.82 is: 563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.64 : 853.36 = 408.82 : x
  2. Step 2: Convert to fraction form
    618.64/853.36 = 408.82/x
  3. Step 3: Cross multiply
    618.64x = 853.36 × 408.82
  4. Step 4: Simplify right side
    618.64x = 348,870.64
  5. Step 5: Solve for x
    x = 348,870.64/618.64
  6. Step 6: Final answer
    x = 563.93

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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.