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Finding the Fourth Proportional to 470.73, 706.64 and 254.73

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Solution

The fourth proportional to 470.73, 706.64 and 254.73 is: 382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.73 : 706.64 = 254.73 : x
  2. Step 2: Convert to fraction form
    470.73/706.64 = 254.73/x
  3. Step 3: Cross multiply
    470.73x = 706.64 × 254.73
  4. Step 4: Simplify right side
    470.73x = 180,002.41
  5. Step 5: Solve for x
    x = 180,002.41/470.73
  6. Step 6: Final answer
    x = 382.39

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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.