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Finding the Fourth Proportional to 427.26, 589.62 and 261.48

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Solution

The fourth proportional to 427.26, 589.62 and 261.48 is: 360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.26 : 589.62 = 261.48 : x
  2. Step 2: Convert to fraction form
    427.26/589.62 = 261.48/x
  3. Step 3: Cross multiply
    427.26x = 589.62 × 261.48
  4. Step 4: Simplify right side
    427.26x = 154,173.84
  5. Step 5: Solve for x
    x = 154,173.84/427.26
  6. Step 6: Final answer
    x = 360.84

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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.