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Finding the Fourth Proportional to 518.66, 776.93 and 323.18

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Solution

The fourth proportional to 518.66, 776.93 and 323.18 is: 484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.66 : 776.93 = 323.18 : x
  2. Step 2: Convert to fraction form
    518.66/776.93 = 323.18/x
  3. Step 3: Cross multiply
    518.66x = 776.93 × 323.18
  4. Step 4: Simplify right side
    518.66x = 251,084.35
  5. Step 5: Solve for x
    x = 251,084.35/518.66
  6. Step 6: Final answer
    x = 484.11

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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.