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Finding the Fourth Proportional to 546.82, 754.68 and 350.26

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Solution

The fourth proportional to 546.82, 754.68 and 350.26 is: 483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.82 : 754.68 = 350.26 : x
  2. Step 2: Convert to fraction form
    546.82/754.68 = 350.26/x
  3. Step 3: Cross multiply
    546.82x = 754.68 × 350.26
  4. Step 4: Simplify right side
    546.82x = 264,334.22
  5. Step 5: Solve for x
    x = 264,334.22/546.82
  6. Step 6: Final answer
    x = 483.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.