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Finding the Fourth Proportional to 539.15, 744.26 and 456.69

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Solution

The fourth proportional to 539.15, 744.26 and 456.69 is: 630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.15 : 744.26 = 456.69 : x
  2. Step 2: Convert to fraction form
    539.15/744.26 = 456.69/x
  3. Step 3: Cross multiply
    539.15x = 744.26 × 456.69
  4. Step 4: Simplify right side
    539.15x = 339,893.82
  5. Step 5: Solve for x
    x = 339,893.82/539.15
  6. Step 6: Final answer
    x = 630.43

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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.