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Finding the Fourth Proportional to 665.95, 999.31 and 480.67

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Solution

The fourth proportional to 665.95, 999.31 and 480.67 is: 721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.95 : 999.31 = 480.67 : x
  2. Step 2: Convert to fraction form
    665.95/999.31 = 480.67/x
  3. Step 3: Cross multiply
    665.95x = 999.31 × 480.67
  4. Step 4: Simplify right side
    665.95x = 480,333.34
  5. Step 5: Solve for x
    x = 480,333.34/665.95
  6. Step 6: Final answer
    x = 721.28

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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.