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Finding the Fourth Proportional to 435.89, 653.09 and 241.02

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Solution

The fourth proportional to 435.89, 653.09 and 241.02 is: 361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.89 : 653.09 = 241.02 : x
  2. Step 2: Convert to fraction form
    435.89/653.09 = 241.02/x
  3. Step 3: Cross multiply
    435.89x = 653.09 × 241.02
  4. Step 4: Simplify right side
    435.89x = 157,406.55
  5. Step 5: Solve for x
    x = 157,406.55/435.89
  6. Step 6: Final answer
    x = 361.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.