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Finding the Fourth Proportional to 519.93, 717.49 and 310.00

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Solution

The fourth proportional to 519.93, 717.49 and 310.00 is: 427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.93 : 717.49 = 310.00 : x
  2. Step 2: Convert to fraction form
    519.93/717.49 = 310.00/x
  3. Step 3: Cross multiply
    519.93x = 717.49 × 310.00
  4. Step 4: Simplify right side
    519.93x = 222,422.02
  5. Step 5: Solve for x
    x = 222,422.02/519.93
  6. Step 6: Final answer
    x = 427.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.