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Finding the Fourth Proportional to 427.40, 589.94 and 261.72

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Solution

The fourth proportional to 427.40, 589.94 and 261.72 is: 361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.40 : 589.94 = 261.72 : x
  2. Step 2: Convert to fraction form
    427.40/589.94 = 261.72/x
  3. Step 3: Cross multiply
    427.40x = 589.94 × 261.72
  4. Step 4: Simplify right side
    427.40x = 154,399.10
  5. Step 5: Solve for x
    x = 154,399.10/427.40
  6. Step 6: Final answer
    x = 361.25

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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.