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Finding the Fourth Proportional to 326.09, 488.77 and 172.19

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Solution

The fourth proportional to 326.09, 488.77 and 172.19 is: 258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.09 : 488.77 = 172.19 : x
  2. Step 2: Convert to fraction form
    326.09/488.77 = 172.19/x
  3. Step 3: Cross multiply
    326.09x = 488.77 × 172.19
  4. Step 4: Simplify right side
    326.09x = 84,162.10
  5. Step 5: Solve for x
    x = 84,162.10/326.09
  6. Step 6: Final answer
    x = 258.09

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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.