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Finding the Fourth Proportional to 407.60, 609.82 and 361.42

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Solution

The fourth proportional to 407.60, 609.82 and 361.42 is: 540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.60 : 609.82 = 361.42 : x
  2. Step 2: Convert to fraction form
    407.60/609.82 = 361.42/x
  3. Step 3: Cross multiply
    407.60x = 609.82 × 361.42
  4. Step 4: Simplify right side
    407.60x = 220,401.14
  5. Step 5: Solve for x
    x = 220,401.14/407.60
  6. Step 6: Final answer
    x = 540.73

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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.