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Finding the Fourth Proportional to 427.14, 589.50 and 361.62

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Solution

The fourth proportional to 427.14, 589.50 and 361.62 is: 499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.14 : 589.50 = 361.62 : x
  2. Step 2: Convert to fraction form
    427.14/589.50 = 361.62/x
  3. Step 3: Cross multiply
    427.14x = 589.50 × 361.62
  4. Step 4: Simplify right side
    427.14x = 213,174.99
  5. Step 5: Solve for x
    x = 213,174.99/427.14
  6. Step 6: Final answer
    x = 499.08

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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.