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Finding the Fourth Proportional to 481.68, 660.39 and 472.93

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Solution

The fourth proportional to 481.68, 660.39 and 472.93 is: 648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.68 : 660.39 = 472.93 : x
  2. Step 2: Convert to fraction form
    481.68/660.39 = 472.93/x
  3. Step 3: Cross multiply
    481.68x = 660.39 × 472.93
  4. Step 4: Simplify right side
    481.68x = 312,314.82
  5. Step 5: Solve for x
    x = 312,314.82/481.68
  6. Step 6: Final answer
    x = 648.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.