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Finding the Fourth Proportional to 517.46, 776.19 and 485.78

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Solution

The fourth proportional to 517.46, 776.19 and 485.78 is: 728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.46 : 776.19 = 485.78 : x
  2. Step 2: Convert to fraction form
    517.46/776.19 = 485.78/x
  3. Step 3: Cross multiply
    517.46x = 776.19 × 485.78
  4. Step 4: Simplify right side
    517.46x = 377,057.58
  5. Step 5: Solve for x
    x = 377,057.58/517.46
  6. Step 6: Final answer
    x = 728.67

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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.