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Finding the Fourth Proportional to 665.86, 996.94 and 459.30

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Solution

The fourth proportional to 665.86, 996.94 and 459.30 is: 687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.86 : 996.94 = 459.30 : x
  2. Step 2: Convert to fraction form
    665.86/996.94 = 459.30/x
  3. Step 3: Cross multiply
    665.86x = 996.94 × 459.30
  4. Step 4: Simplify right side
    665.86x = 457,894.54
  5. Step 5: Solve for x
    x = 457,894.54/665.86
  6. Step 6: Final answer
    x = 687.67

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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.