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Finding the Fourth Proportional to 324.65, 448.25 and 304.00

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Solution

The fourth proportional to 324.65, 448.25 and 304.00 is: 419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.65 : 448.25 = 304.00 : x
  2. Step 2: Convert to fraction form
    324.65/448.25 = 304.00/x
  3. Step 3: Cross multiply
    324.65x = 448.25 × 304.00
  4. Step 4: Simplify right side
    324.65x = 136,265.36
  5. Step 5: Solve for x
    x = 136,265.36/324.65
  6. Step 6: Final answer
    x = 419.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.