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Finding the Fourth Proportional to 338.58, 506.99 and 287.11

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Solution

The fourth proportional to 338.58, 506.99 and 287.11 is: 429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.58 : 506.99 = 287.11 : x
  2. Step 2: Convert to fraction form
    338.58/506.99 = 287.11/x
  3. Step 3: Cross multiply
    338.58x = 506.99 × 287.11
  4. Step 4: Simplify right side
    338.58x = 145,563.25
  5. Step 5: Solve for x
    x = 145,563.25/338.58
  6. Step 6: Final answer
    x = 429.92

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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.