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Finding the Fourth Proportional to 557.20, 834.60 and 362.80

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Solution

The fourth proportional to 557.20, 834.60 and 362.80 is: 543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.20 : 834.60 = 362.80 : x
  2. Step 2: Convert to fraction form
    557.20/834.60 = 362.80/x
  3. Step 3: Cross multiply
    557.20x = 834.60 × 362.80
  4. Step 4: Simplify right side
    557.20x = 302,792.88
  5. Step 5: Solve for x
    x = 302,792.88/557.20
  6. Step 6: Final answer
    x = 543.42

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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.