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Finding the Fourth Proportional to 427.13, 589.32 and 261.28

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Solution

The fourth proportional to 427.13, 589.32 and 261.28 is: 360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.13 : 589.32 = 261.28 : x
  2. Step 2: Convert to fraction form
    427.13/589.32 = 261.28/x
  3. Step 3: Cross multiply
    427.13x = 589.32 × 261.28
  4. Step 4: Simplify right side
    427.13x = 153,977.57
  5. Step 5: Solve for x
    x = 153,977.57/427.13
  6. Step 6: Final answer
    x = 360.50

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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.