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Finding the Fourth Proportional to 539.17, 744.37 and 414.59

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Solution

The fourth proportional to 539.17, 744.37 and 414.59 is: 572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.17 : 744.37 = 414.59 : x
  2. Step 2: Convert to fraction form
    539.17/744.37 = 414.59/x
  3. Step 3: Cross multiply
    539.17x = 744.37 × 414.59
  4. Step 4: Simplify right side
    539.17x = 308,603.60
  5. Step 5: Solve for x
    x = 308,603.60/539.17
  6. Step 6: Final answer
    x = 572.37

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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.