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Finding the Fourth Proportional to 435.54, 599.49 and 361.02

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Solution

The fourth proportional to 435.54, 599.49 and 361.02 is: 496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.54 : 599.49 = 361.02 : x
  2. Step 2: Convert to fraction form
    435.54/599.49 = 361.02/x
  3. Step 3: Cross multiply
    435.54x = 599.49 × 361.02
  4. Step 4: Simplify right side
    435.54x = 216,427.88
  5. Step 5: Solve for x
    x = 216,427.88/435.54
  6. Step 6: Final answer
    x = 496.92

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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.