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Finding the Fourth Proportional to 546.93, 754.92 and 372.37

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Solution

The fourth proportional to 546.93, 754.92 and 372.37 is: 513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.93 : 754.92 = 372.37 : x
  2. Step 2: Convert to fraction form
    546.93/754.92 = 372.37/x
  3. Step 3: Cross multiply
    546.93x = 754.92 × 372.37
  4. Step 4: Simplify right side
    546.93x = 281,109.56
  5. Step 5: Solve for x
    x = 281,109.56/546.93
  6. Step 6: Final answer
    x = 513.98

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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.