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Finding the Fourth Proportional to 305.89, 459.02 and 255.16

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Solution

The fourth proportional to 305.89, 459.02 and 255.16 is: 382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.89 : 459.02 = 255.16 : x
  2. Step 2: Convert to fraction form
    305.89/459.02 = 255.16/x
  3. Step 3: Cross multiply
    305.89x = 459.02 × 255.16
  4. Step 4: Simplify right side
    305.89x = 117,119.97
  5. Step 5: Solve for x
    x = 117,119.97/305.89
  6. Step 6: Final answer
    x = 382.89

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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.