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Finding the Fourth Proportional to 427.26, 589.52 and 361.14

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Solution

The fourth proportional to 427.26, 589.52 and 361.14 is: 498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.26 : 589.52 = 361.14 : x
  2. Step 2: Convert to fraction form
    427.26/589.52 = 361.14/x
  3. Step 3: Cross multiply
    427.26x = 589.52 × 361.14
  4. Step 4: Simplify right side
    427.26x = 212,897.45
  5. Step 5: Solve for x
    x = 212,897.45/427.26
  6. Step 6: Final answer
    x = 498.29

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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.