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Finding the Fourth Proportional to 519.23, 777.82 and 416.03

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Solution

The fourth proportional to 519.23, 777.82 and 416.03 is: 623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.23 : 777.82 = 416.03 : x
  2. Step 2: Convert to fraction form
    519.23/777.82 = 416.03/x
  3. Step 3: Cross multiply
    519.23x = 777.82 × 416.03
  4. Step 4: Simplify right side
    519.23x = 323,594.37
  5. Step 5: Solve for x
    x = 323,594.37/519.23
  6. Step 6: Final answer
    x = 623.22

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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.