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Finding the Fourth Proportional to 855.16, 1,282.43 and 299.81

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Solution

The fourth proportional to 855.16, 1,282.43 and 299.81 is: 449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.16 : 1,282.43 = 299.81 : x
  2. Step 2: Convert to fraction form
    855.16/1,282.43 = 299.81/x
  3. Step 3: Cross multiply
    855.16x = 1,282.43 × 299.81
  4. Step 4: Simplify right side
    855.16x = 384,479.68
  5. Step 5: Solve for x
    x = 384,479.68/855.16
  6. Step 6: Final answer
    x = 449.60

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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.