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Finding the Fourth Proportional to 539.88, 744.76 and 343.08

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Solution

The fourth proportional to 539.88, 744.76 and 343.08 is: 473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.88 : 744.76 = 343.08 : x
  2. Step 2: Convert to fraction form
    539.88/744.76 = 343.08/x
  3. Step 3: Cross multiply
    539.88x = 744.76 × 343.08
  4. Step 4: Simplify right side
    539.88x = 255,512.26
  5. Step 5: Solve for x
    x = 255,512.26/539.88
  6. Step 6: Final answer
    x = 473.28

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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.