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Finding the Fourth Proportional to 546.39, 754.04 and 429.75

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Solution

The fourth proportional to 546.39, 754.04 and 429.75 is: 593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.39 : 754.04 = 429.75 : x
  2. Step 2: Convert to fraction form
    546.39/754.04 = 429.75/x
  3. Step 3: Cross multiply
    546.39x = 754.04 × 429.75
  4. Step 4: Simplify right side
    546.39x = 324,046.54
  5. Step 5: Solve for x
    x = 324,046.54/546.39
  6. Step 6: Final answer
    x = 593.07

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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.