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Finding the Fourth Proportional to 338.26, 507.36 and 266.98

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Solution

The fourth proportional to 338.26, 507.36 and 266.98 is: 400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.26 : 507.36 = 266.98 : x
  2. Step 2: Convert to fraction form
    338.26/507.36 = 266.98/x
  3. Step 3: Cross multiply
    338.26x = 507.36 × 266.98
  4. Step 4: Simplify right side
    338.26x = 135,454.97
  5. Step 5: Solve for x
    x = 135,454.97/338.26
  6. Step 6: Final answer
    x = 400.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.