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Finding the Fourth Proportional to 324.44, 488.57 and 233.77

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Solution

The fourth proportional to 324.44, 488.57 and 233.77 is: 352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.44 : 488.57 = 233.77 : x
  2. Step 2: Convert to fraction form
    324.44/488.57 = 233.77/x
  3. Step 3: Cross multiply
    324.44x = 488.57 × 233.77
  4. Step 4: Simplify right side
    324.44x = 114,213.01
  5. Step 5: Solve for x
    x = 114,213.01/324.44
  6. Step 6: Final answer
    x = 352.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.