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Finding the Fourth Proportional to 518.85, 777.07 and 312.96

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Solution

The fourth proportional to 518.85, 777.07 and 312.96 is: 468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.85 : 777.07 = 312.96 : x
  2. Step 2: Convert to fraction form
    518.85/777.07 = 312.96/x
  3. Step 3: Cross multiply
    518.85x = 777.07 × 312.96
  4. Step 4: Simplify right side
    518.85x = 243,191.83
  5. Step 5: Solve for x
    x = 243,191.83/518.85
  6. Step 6: Final answer
    x = 468.71

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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.