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Finding the Fourth Proportional to 539.96, 744.68 and 457.26

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Solution

The fourth proportional to 539.96, 744.68 and 457.26 is: 630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.96 : 744.68 = 457.26 : x
  2. Step 2: Convert to fraction form
    539.96/744.68 = 457.26/x
  3. Step 3: Cross multiply
    539.96x = 744.68 × 457.26
  4. Step 4: Simplify right side
    539.96x = 340,512.38
  5. Step 5: Solve for x
    x = 340,512.38/539.96
  6. Step 6: Final answer
    x = 630.63

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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.