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Finding the Fourth Proportional to 489.05, 734.28 and 428.91

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Solution

The fourth proportional to 489.05, 734.28 and 428.91 is: 643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.05 : 734.28 = 428.91 : x
  2. Step 2: Convert to fraction form
    489.05/734.28 = 428.91/x
  3. Step 3: Cross multiply
    489.05x = 734.28 × 428.91
  4. Step 4: Simplify right side
    489.05x = 314,942.22
  5. Step 5: Solve for x
    x = 314,942.22/489.05
  6. Step 6: Final answer
    x = 643.98

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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.