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Finding the Fourth Proportional to 618.57, 853.62 and 369.90

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Solution

The fourth proportional to 618.57, 853.62 and 369.90 is: 510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.57 : 853.62 = 369.90 : x
  2. Step 2: Convert to fraction form
    618.57/853.62 = 369.90/x
  3. Step 3: Cross multiply
    618.57x = 853.62 × 369.90
  4. Step 4: Simplify right side
    618.57x = 315,754.04
  5. Step 5: Solve for x
    x = 315,754.04/618.57
  6. Step 6: Final answer
    x = 510.46

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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.