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Finding the Fourth Proportional to 324.78, 448.59 and 281.66

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Solution

The fourth proportional to 324.78, 448.59 and 281.66 is: 389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.78 : 448.59 = 281.66 : x
  2. Step 2: Convert to fraction form
    324.78/448.59 = 281.66/x
  3. Step 3: Cross multiply
    324.78x = 448.59 × 281.66
  4. Step 4: Simplify right side
    324.78x = 126,347.62
  5. Step 5: Solve for x
    x = 126,347.62/324.78
  6. Step 6: Final answer
    x = 389.03

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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.