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Finding the Fourth Proportional to 426.88, 589.17 and 261.24

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Solution

The fourth proportional to 426.88, 589.17 and 261.24 is: 360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.88 : 589.17 = 261.24 : x
  2. Step 2: Convert to fraction form
    426.88/589.17 = 261.24/x
  3. Step 3: Cross multiply
    426.88x = 589.17 × 261.24
  4. Step 4: Simplify right side
    426.88x = 153,914.77
  5. Step 5: Solve for x
    x = 153,914.77/426.88
  6. Step 6: Final answer
    x = 360.56

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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.