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Finding the Fourth Proportional to 539.73, 744.21 and 429.03

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Solution

The fourth proportional to 539.73, 744.21 and 429.03 is: 591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.73 : 744.21 = 429.03 : x
  2. Step 2: Convert to fraction form
    539.73/744.21 = 429.03/x
  3. Step 3: Cross multiply
    539.73x = 744.21 × 429.03
  4. Step 4: Simplify right side
    539.73x = 319,288.42
  5. Step 5: Solve for x
    x = 319,288.42/539.73
  6. Step 6: Final answer
    x = 591.57

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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.