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Finding the Fourth Proportional to 427.17, 589.78 and 261.55

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Solution

The fourth proportional to 427.17, 589.78 and 261.55 is: 361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.17 : 589.78 = 261.55 : x
  2. Step 2: Convert to fraction form
    427.17/589.78 = 261.55/x
  3. Step 3: Cross multiply
    427.17x = 589.78 × 261.55
  4. Step 4: Simplify right side
    427.17x = 154,259.68
  5. Step 5: Solve for x
    x = 154,259.68/427.17
  6. Step 6: Final answer
    x = 361.12

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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.