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Finding the Fourth Proportional to 485.67, 728.35 and 193.07

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Solution

The fourth proportional to 485.67, 728.35 and 193.07 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.67 : 728.35 = 193.07 : x
  2. Step 2: Convert to fraction form
    485.67/728.35 = 193.07/x
  3. Step 3: Cross multiply
    485.67x = 728.35 × 193.07
  4. Step 4: Simplify right side
    485.67x = 140,622.37
  5. Step 5: Solve for x
    x = 140,622.37/485.67
  6. Step 6: Final answer
    x = 289.54

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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.