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Finding the Fourth Proportional to 338.80, 510.04 and 308.56

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Solution

The fourth proportional to 338.80, 510.04 and 308.56 is: 464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.80 : 510.04 = 308.56 : x
  2. Step 2: Convert to fraction form
    338.80/510.04 = 308.56/x
  3. Step 3: Cross multiply
    338.80x = 510.04 × 308.56
  4. Step 4: Simplify right side
    338.80x = 157,377.94
  5. Step 5: Solve for x
    x = 157,377.94/338.80
  6. Step 6: Final answer
    x = 464.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.