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Finding the Fourth Proportional to 324.08, 484.24 and 232.28

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Solution

The fourth proportional to 324.08, 484.24 and 232.28 is: 347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.08 : 484.24 = 232.28 : x
  2. Step 2: Convert to fraction form
    324.08/484.24 = 232.28/x
  3. Step 3: Cross multiply
    324.08x = 484.24 × 232.28
  4. Step 4: Simplify right side
    324.08x = 112,479.27
  5. Step 5: Solve for x
    x = 112,479.27/324.08
  6. Step 6: Final answer
    x = 347.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.