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Finding the Fourth Proportional to 539.56, 744.42 and 353.08

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Solution

The fourth proportional to 539.56, 744.42 and 353.08 is: 487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.56 : 744.42 = 353.08 : x
  2. Step 2: Convert to fraction form
    539.56/744.42 = 353.08/x
  3. Step 3: Cross multiply
    539.56x = 744.42 × 353.08
  4. Step 4: Simplify right side
    539.56x = 262,839.81
  5. Step 5: Solve for x
    x = 262,839.81/539.56
  6. Step 6: Final answer
    x = 487.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.