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Finding the Fourth Proportional to 338.80, 505.30 and 304.24

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Solution

The fourth proportional to 338.80, 505.30 and 304.24 is: 453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.80 : 505.30 = 304.24 : x
  2. Step 2: Convert to fraction form
    338.80/505.30 = 304.24/x
  3. Step 3: Cross multiply
    338.80x = 505.30 × 304.24
  4. Step 4: Simplify right side
    338.80x = 153,732.47
  5. Step 5: Solve for x
    x = 153,732.47/338.80
  6. Step 6: Final answer
    x = 453.76

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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.