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Finding the Fourth Proportional to 324.36, 480.47 and 320.72

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Solution

The fourth proportional to 324.36, 480.47 and 320.72 is: 475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.36 : 480.47 = 320.72 : x
  2. Step 2: Convert to fraction form
    324.36/480.47 = 320.72/x
  3. Step 3: Cross multiply
    324.36x = 480.47 × 320.72
  4. Step 4: Simplify right side
    324.36x = 154,092.33
  5. Step 5: Solve for x
    x = 154,092.33/324.36
  6. Step 6: Final answer
    x = 475.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.