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Finding the Fourth Proportional to 435.67, 599.42 and 380.54

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Solution

The fourth proportional to 435.67, 599.42 and 380.54 is: 523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.67 : 599.42 = 380.54 : x
  2. Step 2: Convert to fraction form
    435.67/599.42 = 380.54/x
  3. Step 3: Cross multiply
    435.67x = 599.42 × 380.54
  4. Step 4: Simplify right side
    435.67x = 228,100.22
  5. Step 5: Solve for x
    x = 228,100.22/435.67
  6. Step 6: Final answer
    x = 523.56

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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.