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Finding the Fourth Proportional to 539.97, 744.69 and 415.95

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Solution

The fourth proportional to 539.97, 744.69 and 415.95 is: 573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.97 : 744.69 = 415.95 : x
  2. Step 2: Convert to fraction form
    539.97/744.69 = 415.95/x
  3. Step 3: Cross multiply
    539.97x = 744.69 × 415.95
  4. Step 4: Simplify right side
    539.97x = 309,753.81
  5. Step 5: Solve for x
    x = 309,753.81/539.97
  6. Step 6: Final answer
    x = 573.65

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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.