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Finding the Fourth Proportional to 498.54, 747.82 and 190.54

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Solution

The fourth proportional to 498.54, 747.82 and 190.54 is: 285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.54 : 747.82 = 190.54 : x
  2. Step 2: Convert to fraction form
    498.54/747.82 = 190.54/x
  3. Step 3: Cross multiply
    498.54x = 747.82 × 190.54
  4. Step 4: Simplify right side
    498.54x = 142,485.52
  5. Step 5: Solve for x
    x = 142,485.52/498.54
  6. Step 6: Final answer
    x = 285.81

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