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Finding the Fourth Proportional to 309, 462.78 and 244.68

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Solution

The fourth proportional to 309, 462.78 and 244.68 is: 366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 462.78 = 244.68 : x
  2. Step 2: Convert to fraction form
    309/462.78 = 244.68/x
  3. Step 3: Cross multiply
    309x = 462.78 × 244.68
  4. Step 4: Simplify right side
    309x = 113,233.01
  5. Step 5: Solve for x
    x = 113,233.01/309
  6. Step 6: Final answer
    x = 366.45

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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.