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Finding the Fourth Proportional to 518.32, 777.87 and 323.61

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Solution

The fourth proportional to 518.32, 777.87 and 323.61 is: 485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.32 : 777.87 = 323.61 : x
  2. Step 2: Convert to fraction form
    518.32/777.87 = 323.61/x
  3. Step 3: Cross multiply
    518.32x = 777.87 × 323.61
  4. Step 4: Simplify right side
    518.32x = 251,721.00
  5. Step 5: Solve for x
    x = 251,721.00/518.32
  6. Step 6: Final answer
    x = 485.65

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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.