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Finding the Fourth Proportional to 618.15, 853.06 and 382.05

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Solution

The fourth proportional to 618.15, 853.06 and 382.05 is: 527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.15 : 853.06 = 382.05 : x
  2. Step 2: Convert to fraction form
    618.15/853.06 = 382.05/x
  3. Step 3: Cross multiply
    618.15x = 853.06 × 382.05
  4. Step 4: Simplify right side
    618.15x = 325,907.42
  5. Step 5: Solve for x
    x = 325,907.42/618.15
  6. Step 6: Final answer
    x = 527.23

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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.