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Finding the Fourth Proportional to 446.49, 669.54 and 241.02

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Solution

The fourth proportional to 446.49, 669.54 and 241.02 is: 361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.49 : 669.54 = 241.02 : x
  2. Step 2: Convert to fraction form
    446.49/669.54 = 241.02/x
  3. Step 3: Cross multiply
    446.49x = 669.54 × 241.02
  4. Step 4: Simplify right side
    446.49x = 161,372.53
  5. Step 5: Solve for x
    x = 161,372.53/446.49
  6. Step 6: Final answer
    x = 361.42

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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.