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Finding the Fourth Proportional to 334.18, 496.67 and 308.26

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Solution

The fourth proportional to 334.18, 496.67 and 308.26 is: 458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.18 : 496.67 = 308.26 : x
  2. Step 2: Convert to fraction form
    334.18/496.67 = 308.26/x
  3. Step 3: Cross multiply
    334.18x = 496.67 × 308.26
  4. Step 4: Simplify right side
    334.18x = 153,103.49
  5. Step 5: Solve for x
    x = 153,103.49/334.18
  6. Step 6: Final answer
    x = 458.15

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Why These Related Problems?

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