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Finding the Fourth Proportional to 427.05, 589.11 and 261.14

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Solution

The fourth proportional to 427.05, 589.11 and 261.14 is: 360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.05 : 589.11 = 261.14 : x
  2. Step 2: Convert to fraction form
    427.05/589.11 = 261.14/x
  3. Step 3: Cross multiply
    427.05x = 589.11 × 261.14
  4. Step 4: Simplify right side
    427.05x = 153,837.24
  5. Step 5: Solve for x
    x = 153,837.24/427.05
  6. Step 6: Final answer
    x = 360.23

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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.