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Finding the Fourth Proportional to 645.78, 969.07 and 255.72

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Solution

The fourth proportional to 645.78, 969.07 and 255.72 is: 383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.78 : 969.07 = 255.72 : x
  2. Step 2: Convert to fraction form
    645.78/969.07 = 255.72/x
  3. Step 3: Cross multiply
    645.78x = 969.07 × 255.72
  4. Step 4: Simplify right side
    645.78x = 247,808.80
  5. Step 5: Solve for x
    x = 247,808.80/645.78
  6. Step 6: Final answer
    x = 383.73

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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.