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Finding the Fourth Proportional to 546.40, 818.97 and 424.27

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Solution

The fourth proportional to 546.40, 818.97 and 424.27 is: 635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 818.97 = 424.27 : x
  2. Step 2: Convert to fraction form
    546.40/818.97 = 424.27/x
  3. Step 3: Cross multiply
    546.40x = 818.97 × 424.27
  4. Step 4: Simplify right side
    546.40x = 347,464.40
  5. Step 5: Solve for x
    x = 347,464.40/546.40
  6. Step 6: Final answer
    x = 635.92

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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.