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Finding the Fourth Proportional to 618.56, 853.69 and 406.06

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Solution

The fourth proportional to 618.56, 853.69 and 406.06 is: 560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.56 : 853.69 = 406.06 : x
  2. Step 2: Convert to fraction form
    618.56/853.69 = 406.06/x
  3. Step 3: Cross multiply
    618.56x = 853.69 × 406.06
  4. Step 4: Simplify right side
    618.56x = 346,646.11
  5. Step 5: Solve for x
    x = 346,646.11/618.56
  6. Step 6: Final answer
    x = 560.41

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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.