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Finding the Fourth Proportional to 344.80, 515.68 and 306.54

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Solution

The fourth proportional to 344.80, 515.68 and 306.54 is: 458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.80 : 515.68 = 306.54 : x
  2. Step 2: Convert to fraction form
    344.80/515.68 = 306.54/x
  3. Step 3: Cross multiply
    344.80x = 515.68 × 306.54
  4. Step 4: Simplify right side
    344.80x = 158,076.55
  5. Step 5: Solve for x
    x = 158,076.55/344.80
  6. Step 6: Final answer
    x = 458.46

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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.