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Finding the Fourth Proportional to 324.35, 485.71 and 179.77

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Solution

The fourth proportional to 324.35, 485.71 and 179.77 is: 269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.35 : 485.71 = 179.77 : x
  2. Step 2: Convert to fraction form
    324.35/485.71 = 179.77/x
  3. Step 3: Cross multiply
    324.35x = 485.71 × 179.77
  4. Step 4: Simplify right side
    324.35x = 87,316.09
  5. Step 5: Solve for x
    x = 87,316.09/324.35
  6. Step 6: Final answer
    x = 269.20

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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.