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Finding the Fourth Proportional to 618.42, 853.24 and 382.40

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Solution

The fourth proportional to 618.42, 853.24 and 382.40 is: 527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.42 : 853.24 = 382.40 : x
  2. Step 2: Convert to fraction form
    618.42/853.24 = 382.40/x
  3. Step 3: Cross multiply
    618.42x = 853.24 × 382.40
  4. Step 4: Simplify right side
    618.42x = 326,278.98
  5. Step 5: Solve for x
    x = 326,278.98/618.42
  6. Step 6: Final answer
    x = 527.60

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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.