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Finding the Fourth Proportional to 519.36, 777.96 and 403.68

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Solution

The fourth proportional to 519.36, 777.96 and 403.68 is: 604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.36 : 777.96 = 403.68 : x
  2. Step 2: Convert to fraction form
    519.36/777.96 = 403.68/x
  3. Step 3: Cross multiply
    519.36x = 777.96 × 403.68
  4. Step 4: Simplify right side
    519.36x = 314,046.89
  5. Step 5: Solve for x
    x = 314,046.89/519.36
  6. Step 6: Final answer
    x = 604.68

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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.