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Finding the Fourth Proportional to 428.04, 641.61 and 254.47

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Solution

The fourth proportional to 428.04, 641.61 and 254.47 is: 381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.04 : 641.61 = 254.47 : x
  2. Step 2: Convert to fraction form
    428.04/641.61 = 254.47/x
  3. Step 3: Cross multiply
    428.04x = 641.61 × 254.47
  4. Step 4: Simplify right side
    428.04x = 163,270.50
  5. Step 5: Solve for x
    x = 163,270.50/428.04
  6. Step 6: Final answer
    x = 381.44

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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.