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Finding the Fourth Proportional to 546.44, 754.74 and 391.88

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Solution

The fourth proportional to 546.44, 754.74 and 391.88 is: 541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.44 : 754.74 = 391.88 : x
  2. Step 2: Convert to fraction form
    546.44/754.74 = 391.88/x
  3. Step 3: Cross multiply
    546.44x = 754.74 × 391.88
  4. Step 4: Simplify right side
    546.44x = 295,767.51
  5. Step 5: Solve for x
    x = 295,767.51/546.44
  6. Step 6: Final answer
    x = 541.26

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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.