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Finding the Fourth Proportional to 326.71, 491.07 and 304.15

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Solution

The fourth proportional to 326.71, 491.07 and 304.15 is: 457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.71 : 491.07 = 304.15 : x
  2. Step 2: Convert to fraction form
    326.71/491.07 = 304.15/x
  3. Step 3: Cross multiply
    326.71x = 491.07 × 304.15
  4. Step 4: Simplify right side
    326.71x = 149,358.94
  5. Step 5: Solve for x
    x = 149,358.94/326.71
  6. Step 6: Final answer
    x = 457.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.