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Finding the Fourth Proportional to 518.51, 776.23 and 312.46

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Solution

The fourth proportional to 518.51, 776.23 and 312.46 is: 467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.51 : 776.23 = 312.46 : x
  2. Step 2: Convert to fraction form
    518.51/776.23 = 312.46/x
  3. Step 3: Cross multiply
    518.51x = 776.23 × 312.46
  4. Step 4: Simplify right side
    518.51x = 242,540.83
  5. Step 5: Solve for x
    x = 242,540.83/518.51
  6. Step 6: Final answer
    x = 467.76

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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.