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Finding the Fourth Proportional to 289.23, 433.85 and 241.04

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Solution

The fourth proportional to 289.23, 433.85 and 241.04 is: 361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.23 : 433.85 = 241.04 : x
  2. Step 2: Convert to fraction form
    289.23/433.85 = 241.04/x
  3. Step 3: Cross multiply
    289.23x = 433.85 × 241.04
  4. Step 4: Simplify right side
    289.23x = 104,575.20
  5. Step 5: Solve for x
    x = 104,575.20/289.23
  6. Step 6: Final answer
    x = 361.56

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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.