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Finding the Fourth Proportional to 645.70, 967.60 and 255.30

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Solution

The fourth proportional to 645.70, 967.60 and 255.30 is: 382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.70 : 967.60 = 255.30 : x
  2. Step 2: Convert to fraction form
    645.70/967.60 = 255.30/x
  3. Step 3: Cross multiply
    645.70x = 967.60 × 255.30
  4. Step 4: Simplify right side
    645.70x = 247,028.98
  5. Step 5: Solve for x
    x = 247,028.98/645.70
  6. Step 6: Final answer
    x = 382.58

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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.