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Finding the Fourth Proportional to 600.96, 902.80 and 428.04

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Solution

The fourth proportional to 600.96, 902.80 and 428.04 is: 643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 902.80 = 428.04 : x
  2. Step 2: Convert to fraction form
    600.96/902.80 = 428.04/x
  3. Step 3: Cross multiply
    600.96x = 902.80 × 428.04
  4. Step 4: Simplify right side
    600.96x = 386,434.51
  5. Step 5: Solve for x
    x = 386,434.51/600.96
  6. Step 6: Final answer
    x = 643.03

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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.