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Finding the Fourth Proportional to 547.34, 817.81 and 528.20

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Solution

The fourth proportional to 547.34, 817.81 and 528.20 is: 789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.34 : 817.81 = 528.20 : x
  2. Step 2: Convert to fraction form
    547.34/817.81 = 528.20/x
  3. Step 3: Cross multiply
    547.34x = 817.81 × 528.20
  4. Step 4: Simplify right side
    547.34x = 431,967.97
  5. Step 5: Solve for x
    x = 431,967.97/547.34
  6. Step 6: Final answer
    x = 789.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.