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Finding the Fourth Proportional to 546.30, 818.26 and 455.42

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Solution

The fourth proportional to 546.30, 818.26 and 455.42 is: 682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.30 : 818.26 = 455.42 : x
  2. Step 2: Convert to fraction form
    546.30/818.26 = 455.42/x
  3. Step 3: Cross multiply
    546.30x = 818.26 × 455.42
  4. Step 4: Simplify right side
    546.30x = 372,651.97
  5. Step 5: Solve for x
    x = 372,651.97/546.30
  6. Step 6: Final answer
    x = 682.14

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Why These Related Problems?

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