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Finding the Fourth Proportional to 306.96, 458.07 and 274.56

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Solution

The fourth proportional to 306.96, 458.07 and 274.56 is: 409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 458.07 = 274.56 : x
  2. Step 2: Convert to fraction form
    306.96/458.07 = 274.56/x
  3. Step 3: Cross multiply
    306.96x = 458.07 × 274.56
  4. Step 4: Simplify right side
    306.96x = 125,767.70
  5. Step 5: Solve for x
    x = 125,767.70/306.96
  6. Step 6: Final answer
    x = 409.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.