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Finding the Fourth Proportional to 546.75, 754.92 and 399.60

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Solution

The fourth proportional to 546.75, 754.92 and 399.60 is: 551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 754.92 = 399.60 : x
  2. Step 2: Convert to fraction form
    546.75/754.92 = 399.60/x
  3. Step 3: Cross multiply
    546.75x = 754.92 × 399.60
  4. Step 4: Simplify right side
    546.75x = 301,666.03
  5. Step 5: Solve for x
    x = 301,666.03/546.75
  6. Step 6: Final answer
    x = 551.74

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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.