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Finding the Fourth Proportional to 379.71, 525.42 and 324.36

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Solution

The fourth proportional to 379.71, 525.42 and 324.36 is: 448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.71 : 525.42 = 324.36 : x
  2. Step 2: Convert to fraction form
    379.71/525.42 = 324.36/x
  3. Step 3: Cross multiply
    379.71x = 525.42 × 324.36
  4. Step 4: Simplify right side
    379.71x = 170,425.23
  5. Step 5: Solve for x
    x = 170,425.23/379.71
  6. Step 6: Final answer
    x = 448.83

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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.