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Finding the Fourth Proportional to 539.44, 809.28 and 174.28

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Solution

The fourth proportional to 539.44, 809.28 and 174.28 is: 261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.44 : 809.28 = 174.28 : x
  2. Step 2: Convert to fraction form
    539.44/809.28 = 174.28/x
  3. Step 3: Cross multiply
    539.44x = 809.28 × 174.28
  4. Step 4: Simplify right side
    539.44x = 141,041.32
  5. Step 5: Solve for x
    x = 141,041.32/539.44
  6. Step 6: Final answer
    x = 261.46

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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.