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Finding the Fourth Proportional to 492.76, 739.41 and 184.83

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Solution

The fourth proportional to 492.76, 739.41 and 184.83 is: 277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.76 : 739.41 = 184.83 : x
  2. Step 2: Convert to fraction form
    492.76/739.41 = 184.83/x
  3. Step 3: Cross multiply
    492.76x = 739.41 × 184.83
  4. Step 4: Simplify right side
    492.76x = 136,660.53
  5. Step 5: Solve for x
    x = 136,660.53/492.76
  6. Step 6: Final answer
    x = 277.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.