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Finding the Fourth Proportional to 854, 1,281.02 and 268.98

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Solution

The fourth proportional to 854, 1,281.02 and 268.98 is: 403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    854 : 1,281.02 = 268.98 : x
  2. Step 2: Convert to fraction form
    854/1,281.02 = 268.98/x
  3. Step 3: Cross multiply
    854x = 1,281.02 × 268.98
  4. Step 4: Simplify right side
    854x = 344,568.76
  5. Step 5: Solve for x
    x = 344,568.76/854
  6. Step 6: Final answer
    x = 403.48

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Why These Related Problems?

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