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Finding the Fourth Proportional to 664.86, 917.67 and 488.08

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Solution

The fourth proportional to 664.86, 917.67 and 488.08 is: 673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.86 : 917.67 = 488.08 : x
  2. Step 2: Convert to fraction form
    664.86/917.67 = 488.08/x
  3. Step 3: Cross multiply
    664.86x = 917.67 × 488.08
  4. Step 4: Simplify right side
    664.86x = 447,896.37
  5. Step 5: Solve for x
    x = 447,896.37/664.86
  6. Step 6: Final answer
    x = 673.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.