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Finding the Fourth Proportional to 481.86, 665.01 and 295.50

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Solution

The fourth proportional to 481.86, 665.01 and 295.50 is: 407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.86 : 665.01 = 295.50 : x
  2. Step 2: Convert to fraction form
    481.86/665.01 = 295.50/x
  3. Step 3: Cross multiply
    481.86x = 665.01 × 295.50
  4. Step 4: Simplify right side
    481.86x = 196,510.46
  5. Step 5: Solve for x
    x = 196,510.46/481.86
  6. Step 6: Final answer
    x = 407.82

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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.