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Finding the Fourth Proportional to 563.70, 845.55 and 320.70

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Solution

The fourth proportional to 563.70, 845.55 and 320.70 is: 481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.70 : 845.55 = 320.70 : x
  2. Step 2: Convert to fraction form
    563.70/845.55 = 320.70/x
  3. Step 3: Cross multiply
    563.70x = 845.55 × 320.70
  4. Step 4: Simplify right side
    563.70x = 271,167.89
  5. Step 5: Solve for x
    x = 271,167.89/563.70
  6. Step 6: Final answer
    x = 481.05

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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.