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Finding the Fourth Proportional to 370.94, 511.96 and 308.68

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Solution

The fourth proportional to 370.94, 511.96 and 308.68 is: 426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.94 : 511.96 = 308.68 : x
  2. Step 2: Convert to fraction form
    370.94/511.96 = 308.68/x
  3. Step 3: Cross multiply
    370.94x = 511.96 × 308.68
  4. Step 4: Simplify right side
    370.94x = 158,031.81
  5. Step 5: Solve for x
    x = 158,031.81/370.94
  6. Step 6: Final answer
    x = 426.03

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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.