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Finding the Fourth Proportional to 539.84, 744.72 and 353.25

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Solution

The fourth proportional to 539.84, 744.72 and 353.25 is: 487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.84 : 744.72 = 353.25 : x
  2. Step 2: Convert to fraction form
    539.84/744.72 = 353.25/x
  3. Step 3: Cross multiply
    539.84x = 744.72 × 353.25
  4. Step 4: Simplify right side
    539.84x = 263,072.34
  5. Step 5: Solve for x
    x = 263,072.34/539.84
  6. Step 6: Final answer
    x = 487.32

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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.