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Finding the Fourth Proportional to 326.93, 448.70 and 299.12

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Solution

The fourth proportional to 326.93, 448.70 and 299.12 is: 410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.93 : 448.70 = 299.12 : x
  2. Step 2: Convert to fraction form
    326.93/448.70 = 299.12/x
  3. Step 3: Cross multiply
    326.93x = 448.70 × 299.12
  4. Step 4: Simplify right side
    326.93x = 134,211.40
  5. Step 5: Solve for x
    x = 134,211.40/326.93
  6. Step 6: Final answer
    x = 410.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.