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Finding the Fourth Proportional to 539.35, 743.94 and 498.34

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Solution

The fourth proportional to 539.35, 743.94 and 498.34 is: 687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.35 : 743.94 = 498.34 : x
  2. Step 2: Convert to fraction form
    539.35/743.94 = 498.34/x
  3. Step 3: Cross multiply
    539.35x = 743.94 × 498.34
  4. Step 4: Simplify right side
    539.35x = 370,731.34
  5. Step 5: Solve for x
    x = 370,731.34/539.35
  6. Step 6: Final answer
    x = 687.37

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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.