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Finding the Fourth Proportional to 519.54, 777.33 and 346.62

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Solution

The fourth proportional to 519.54, 777.33 and 346.62 is: 518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 777.33 = 346.62 : x
  2. Step 2: Convert to fraction form
    519.54/777.33 = 346.62/x
  3. Step 3: Cross multiply
    519.54x = 777.33 × 346.62
  4. Step 4: Simplify right side
    519.54x = 269,438.12
  5. Step 5: Solve for x
    x = 269,438.12/519.54
  6. Step 6: Final answer
    x = 518.61

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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.