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Finding the Fourth Proportional to 435.45, 599.42 and 380.10

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Solution

The fourth proportional to 435.45, 599.42 and 380.10 is: 523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.45 : 599.42 = 380.10 : x
  2. Step 2: Convert to fraction form
    435.45/599.42 = 380.10/x
  3. Step 3: Cross multiply
    435.45x = 599.42 × 380.10
  4. Step 4: Simplify right side
    435.45x = 227,839.54
  5. Step 5: Solve for x
    x = 227,839.54/435.45
  6. Step 6: Final answer
    x = 523.23

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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.