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Finding the Fourth Proportional to 426.88, 589.40 and 261.32

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Solution

The fourth proportional to 426.88, 589.40 and 261.32 is: 360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.88 : 589.40 = 261.32 : x
  2. Step 2: Convert to fraction form
    426.88/589.40 = 261.32/x
  3. Step 3: Cross multiply
    426.88x = 589.40 × 261.32
  4. Step 4: Simplify right side
    426.88x = 154,020.20
  5. Step 5: Solve for x
    x = 154,020.20/426.88
  6. Step 6: Final answer
    x = 360.81

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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.