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Finding the Fourth Proportional to 427.15, 589.46 and 261.34

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Solution

The fourth proportional to 427.15, 589.46 and 261.34 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.15 : 589.46 = 261.34 : x
  2. Step 2: Convert to fraction form
    427.15/589.46 = 261.34/x
  3. Step 3: Cross multiply
    427.15x = 589.46 × 261.34
  4. Step 4: Simplify right side
    427.15x = 154,049.48
  5. Step 5: Solve for x
    x = 154,049.48/427.15
  6. Step 6: Final answer
    x = 360.64

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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.