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Finding the Fourth Proportional to 539.02, 744.27 and 362.13

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Solution

The fourth proportional to 539.02, 744.27 and 362.13 is: 500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.02 : 744.27 = 362.13 : x
  2. Step 2: Convert to fraction form
    539.02/744.27 = 362.13/x
  3. Step 3: Cross multiply
    539.02x = 744.27 × 362.13
  4. Step 4: Simplify right side
    539.02x = 269,525.62
  5. Step 5: Solve for x
    x = 269,525.62/539.02
  6. Step 6: Final answer
    x = 500.03

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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.