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Finding the Fourth Proportional to 518.16, 776.16 and 394.96

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Solution

The fourth proportional to 518.16, 776.16 and 394.96 is: 591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.16 : 776.16 = 394.96 : x
  2. Step 2: Convert to fraction form
    518.16/776.16 = 394.96/x
  3. Step 3: Cross multiply
    518.16x = 776.16 × 394.96
  4. Step 4: Simplify right side
    518.16x = 306,552.15
  5. Step 5: Solve for x
    x = 306,552.15/518.16
  6. Step 6: Final answer
    x = 591.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.