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Finding the Fourth Proportional to 547.20, 821.60 and 411.20

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Solution

The fourth proportional to 547.20, 821.60 and 411.20 is: 617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.20 : 821.60 = 411.20 : x
  2. Step 2: Convert to fraction form
    547.20/821.60 = 411.20/x
  3. Step 3: Cross multiply
    547.20x = 821.60 × 411.20
  4. Step 4: Simplify right side
    547.20x = 337,841.92
  5. Step 5: Solve for x
    x = 337,841.92/547.20
  6. Step 6: Final answer
    x = 617.40

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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.