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Finding the Fourth Proportional to 326.01, 488.48 and 261.75

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Solution

The fourth proportional to 326.01, 488.48 and 261.75 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.01 : 488.48 = 261.75 : x
  2. Step 2: Convert to fraction form
    326.01/488.48 = 261.75/x
  3. Step 3: Cross multiply
    326.01x = 488.48 × 261.75
  4. Step 4: Simplify right side
    326.01x = 127,858.33
  5. Step 5: Solve for x
    x = 127,858.33/326.01
  6. Step 6: Final answer
    x = 392.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.