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Finding the Fourth Proportional to 306.75, 458.86 and 255.46

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Solution

The fourth proportional to 306.75, 458.86 and 255.46 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 458.86 = 255.46 : x
  2. Step 2: Convert to fraction form
    306.75/458.86 = 255.46/x
  3. Step 3: Cross multiply
    306.75x = 458.86 × 255.46
  4. Step 4: Simplify right side
    306.75x = 117,220.38
  5. Step 5: Solve for x
    x = 117,220.38/306.75
  6. Step 6: Final answer
    x = 382.14

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Why These Related Problems?

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