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Finding the Fourth Proportional to 485.89, 728.83 and 120.68

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Solution

The fourth proportional to 485.89, 728.83 and 120.68 is: 181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.89 : 728.83 = 120.68 : x
  2. Step 2: Convert to fraction form
    485.89/728.83 = 120.68/x
  3. Step 3: Cross multiply
    485.89x = 728.83 × 120.68
  4. Step 4: Simplify right side
    485.89x = 87,955.25
  5. Step 5: Solve for x
    x = 87,955.25/485.89
  6. Step 6: Final answer
    x = 181.02

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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.