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Finding the Fourth Proportional to 489.88, 734.96 and 201.52

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Solution

The fourth proportional to 489.88, 734.96 and 201.52 is: 302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.88 : 734.96 = 201.52 : x
  2. Step 2: Convert to fraction form
    489.88/734.96 = 201.52/x
  3. Step 3: Cross multiply
    489.88x = 734.96 × 201.52
  4. Step 4: Simplify right side
    489.88x = 148,109.14
  5. Step 5: Solve for x
    x = 148,109.14/489.88
  6. Step 6: Final answer
    x = 302.34

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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.