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Finding the Fourth Proportional to 435.48, 599.45 and 361.97

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Solution

The fourth proportional to 435.48, 599.45 and 361.97 is: 498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.48 : 599.45 = 361.97 : x
  2. Step 2: Convert to fraction form
    435.48/599.45 = 361.97/x
  3. Step 3: Cross multiply
    435.48x = 599.45 × 361.97
  4. Step 4: Simplify right side
    435.48x = 216,982.39
  5. Step 5: Solve for x
    x = 216,982.39/435.48
  6. Step 6: Final answer
    x = 498.26

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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.