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Finding the Fourth Proportional to 546.41, 754.06 and 350.29

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Solution

The fourth proportional to 546.41, 754.06 and 350.29 is: 483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.41 : 754.06 = 350.29 : x
  2. Step 2: Convert to fraction form
    546.41/754.06 = 350.29/x
  3. Step 3: Cross multiply
    546.41x = 754.06 × 350.29
  4. Step 4: Simplify right side
    546.41x = 264,135.91
  5. Step 5: Solve for x
    x = 264,135.91/546.41
  6. Step 6: Final answer
    x = 483.41

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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.