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Finding the Fourth Proportional to 481.02, 663.84 and 415.68

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Solution

The fourth proportional to 481.02, 663.84 and 415.68 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.02 : 663.84 = 415.68 : x
  2. Step 2: Convert to fraction form
    481.02/663.84 = 415.68/x
  3. Step 3: Cross multiply
    481.02x = 663.84 × 415.68
  4. Step 4: Simplify right side
    481.02x = 275,945.01
  5. Step 5: Solve for x
    x = 275,945.01/481.02
  6. Step 6: Final answer
    x = 573.67

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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.