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Finding the Fourth Proportional to 618.42, 853.14 and 408.30

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Solution

The fourth proportional to 618.42, 853.14 and 408.30 is: 563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.42 : 853.14 = 408.30 : x
  2. Step 2: Convert to fraction form
    618.42/853.14 = 408.30/x
  3. Step 3: Cross multiply
    618.42x = 853.14 × 408.30
  4. Step 4: Simplify right side
    618.42x = 348,337.06
  5. Step 5: Solve for x
    x = 348,337.06/618.42
  6. Step 6: Final answer
    x = 563.27

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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.