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Finding the Fourth Proportional to 854.10, 1,281.24 and 276.84

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Solution

The fourth proportional to 854.10, 1,281.24 and 276.84 is: 415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.10 : 1,281.24 = 276.84 : x
  2. Step 2: Convert to fraction form
    854.10/1,281.24 = 276.84/x
  3. Step 3: Cross multiply
    854.10x = 1,281.24 × 276.84
  4. Step 4: Simplify right side
    854.10x = 354,698.48
  5. Step 5: Solve for x
    x = 354,698.48/854.10
  6. Step 6: Final answer
    x = 415.29

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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.