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Finding the Fourth Proportional to 546.30, 817.62 and 455.17

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Solution

The fourth proportional to 546.30, 817.62 and 455.17 is: 681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.30 : 817.62 = 455.17 : x
  2. Step 2: Convert to fraction form
    546.30/817.62 = 455.17/x
  3. Step 3: Cross multiply
    546.30x = 817.62 × 455.17
  4. Step 4: Simplify right side
    546.30x = 372,156.10
  5. Step 5: Solve for x
    x = 372,156.10/546.30
  6. Step 6: Final answer
    x = 681.23

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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.