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Finding the Fourth Proportional to 518.22, 777.12 and 310.08

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Solution

The fourth proportional to 518.22, 777.12 and 310.08 is: 464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.22 : 777.12 = 310.08 : x
  2. Step 2: Convert to fraction form
    518.22/777.12 = 310.08/x
  3. Step 3: Cross multiply
    518.22x = 777.12 × 310.08
  4. Step 4: Simplify right side
    518.22x = 240,969.37
  5. Step 5: Solve for x
    x = 240,969.37/518.22
  6. Step 6: Final answer
    x = 464.99

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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.