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Finding the Fourth Proportional to 546.11, 817.60 and 511.62

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Solution

The fourth proportional to 546.11, 817.60 and 511.62 is: 765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.11 : 817.60 = 511.62 : x
  2. Step 2: Convert to fraction form
    546.11/817.60 = 511.62/x
  3. Step 3: Cross multiply
    546.11x = 817.60 × 511.62
  4. Step 4: Simplify right side
    546.11x = 418,300.51
  5. Step 5: Solve for x
    x = 418,300.51/546.11
  6. Step 6: Final answer
    x = 765.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.