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Finding the Fourth Proportional to 427.59, 589.72 and 361.36

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Solution

The fourth proportional to 427.59, 589.72 and 361.36 is: 498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.59 : 589.72 = 361.36 : x
  2. Step 2: Convert to fraction form
    427.59/589.72 = 361.36/x
  3. Step 3: Cross multiply
    427.59x = 589.72 × 361.36
  4. Step 4: Simplify right side
    427.59x = 213,098.84
  5. Step 5: Solve for x
    x = 213,098.84/427.59
  6. Step 6: Final answer
    x = 498.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.