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Finding the Fourth Proportional to 481.76, 664.50 and 295.16

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Solution

The fourth proportional to 481.76, 664.50 and 295.16 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.76 : 664.50 = 295.16 : x
  2. Step 2: Convert to fraction form
    481.76/664.50 = 295.16/x
  3. Step 3: Cross multiply
    481.76x = 664.50 × 295.16
  4. Step 4: Simplify right side
    481.76x = 196,135.48
  5. Step 5: Solve for x
    x = 196,135.48/481.76
  6. Step 6: Final answer
    x = 407.13

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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.