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Finding the Fourth Proportional to 518.25, 777.39 and 176.25

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Solution

The fourth proportional to 518.25, 777.39 and 176.25 is: 264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.25 : 777.39 = 176.25 : x
  2. Step 2: Convert to fraction form
    518.25/777.39 = 176.25/x
  3. Step 3: Cross multiply
    518.25x = 777.39 × 176.25
  4. Step 4: Simplify right side
    518.25x = 137,014.99
  5. Step 5: Solve for x
    x = 137,014.99/518.25
  6. Step 6: Final answer
    x = 264.38

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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.