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Finding the Fourth Proportional to 546.18, 818.30 and 455.46

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Solution

The fourth proportional to 546.18, 818.30 and 455.46 is: 682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.18 : 818.30 = 455.46 : x
  2. Step 2: Convert to fraction form
    546.18/818.30 = 455.46/x
  3. Step 3: Cross multiply
    546.18x = 818.30 × 455.46
  4. Step 4: Simplify right side
    546.18x = 372,702.92
  5. Step 5: Solve for x
    x = 372,702.92/546.18
  6. Step 6: Final answer
    x = 682.38

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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.