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Finding the Fourth Proportional to 546.53, 817.86 and 447.84

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Solution

The fourth proportional to 546.53, 817.86 and 447.84 is: 670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.53 : 817.86 = 447.84 : x
  2. Step 2: Convert to fraction form
    546.53/817.86 = 447.84/x
  3. Step 3: Cross multiply
    546.53x = 817.86 × 447.84
  4. Step 4: Simplify right side
    546.53x = 366,271.54
  5. Step 5: Solve for x
    x = 366,271.54/546.53
  6. Step 6: Final answer
    x = 670.18

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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.