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Finding the Fourth Proportional to 299.08, 445.45 and 285.75

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Solution

The fourth proportional to 299.08, 445.45 and 285.75 is: 425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.08 : 445.45 = 285.75 : x
  2. Step 2: Convert to fraction form
    299.08/445.45 = 285.75/x
  3. Step 3: Cross multiply
    299.08x = 445.45 × 285.75
  4. Step 4: Simplify right side
    299.08x = 127,285.11
  5. Step 5: Solve for x
    x = 127,285.11/299.08
  6. Step 6: Final answer
    x = 425.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.