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Finding the Fourth Proportional to 284.94, 428.04 and 268.56

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Solution

The fourth proportional to 284.94, 428.04 and 268.56 is: 403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.94 : 428.04 = 268.56 : x
  2. Step 2: Convert to fraction form
    284.94/428.04 = 268.56/x
  3. Step 3: Cross multiply
    284.94x = 428.04 × 268.56
  4. Step 4: Simplify right side
    284.94x = 114,954.42
  5. Step 5: Solve for x
    x = 114,954.42/284.94
  6. Step 6: Final answer
    x = 403.43

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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.