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Finding the Fourth Proportional to 481.92, 665.05 and 282.70

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Solution

The fourth proportional to 481.92, 665.05 and 282.70 is: 390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 665.05 = 282.70 : x
  2. Step 2: Convert to fraction form
    481.92/665.05 = 282.70/x
  3. Step 3: Cross multiply
    481.92x = 665.05 × 282.70
  4. Step 4: Simplify right side
    481.92x = 188,009.21
  5. Step 5: Solve for x
    x = 188,009.21/481.92
  6. Step 6: Final answer
    x = 390.13

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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.