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Finding the Fourth Proportional to 518.23, 777.23 and 332.57

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Solution

The fourth proportional to 518.23, 777.23 and 332.57 is: 498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.23 : 777.23 = 332.57 : x
  2. Step 2: Convert to fraction form
    518.23/777.23 = 332.57/x
  3. Step 3: Cross multiply
    518.23x = 777.23 × 332.57
  4. Step 4: Simplify right side
    518.23x = 258,481.72
  5. Step 5: Solve for x
    x = 258,481.72/518.23
  6. Step 6: Final answer
    x = 498.78

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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.