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Finding the Fourth Proportional to 426.80, 589.02 and 261.08

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Solution

The fourth proportional to 426.80, 589.02 and 261.08 is: 360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.80 : 589.02 = 261.08 : x
  2. Step 2: Convert to fraction form
    426.80/589.02 = 261.08/x
  3. Step 3: Cross multiply
    426.80x = 589.02 × 261.08
  4. Step 4: Simplify right side
    426.80x = 153,781.34
  5. Step 5: Solve for x
    x = 153,781.34/426.80
  6. Step 6: Final answer
    x = 360.31

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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.