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Finding the Fourth Proportional to 481.04, 664 and 281.93

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Solution

The fourth proportional to 481.04, 664 and 281.93 is: 389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.04 : 664 = 281.93 : x
  2. Step 2: Convert to fraction form
    481.04/664 = 281.93/x
  3. Step 3: Cross multiply
    481.04x = 664 × 281.93
  4. Step 4: Simplify right side
    481.04x = 187,201.52
  5. Step 5: Solve for x
    x = 187,201.52/481.04
  6. Step 6: Final answer
    x = 389.16

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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.