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Finding the Fourth Proportional to 511.80, 768.15 and 443.40

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Solution

The fourth proportional to 511.80, 768.15 and 443.40 is: 665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 768.15 = 443.40 : x
  2. Step 2: Convert to fraction form
    511.80/768.15 = 443.40/x
  3. Step 3: Cross multiply
    511.80x = 768.15 × 443.40
  4. Step 4: Simplify right side
    511.80x = 340,597.71
  5. Step 5: Solve for x
    x = 340,597.71/511.80
  6. Step 6: Final answer
    x = 665.49

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Double scale
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1.5x scale

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.