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Finding the Fourth Proportional to 518.16, 777.62 and 323.45

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Solution

The fourth proportional to 518.16, 777.62 and 323.45 is: 485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.16 : 777.62 = 323.45 : x
  2. Step 2: Convert to fraction form
    518.16/777.62 = 323.45/x
  3. Step 3: Cross multiply
    518.16x = 777.62 × 323.45
  4. Step 4: Simplify right side
    518.16x = 251,515.68
  5. Step 5: Solve for x
    x = 251,515.68/518.16
  6. Step 6: Final answer
    x = 485.40

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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.