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Finding the Fourth Proportional to 338.16, 504.63 and 301.80

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Solution

The fourth proportional to 338.16, 504.63 and 301.80 is: 450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 504.63 = 301.80 : x
  2. Step 2: Convert to fraction form
    338.16/504.63 = 301.80/x
  3. Step 3: Cross multiply
    338.16x = 504.63 × 301.80
  4. Step 4: Simplify right side
    338.16x = 152,297.33
  5. Step 5: Solve for x
    x = 152,297.33/338.16
  6. Step 6: Final answer
    x = 450.37

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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.