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Finding the Fourth Proportional to 546.24, 818.81 and 351.44

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Solution

The fourth proportional to 546.24, 818.81 and 351.44 is: 526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 818.81 = 351.44 : x
  2. Step 2: Convert to fraction form
    546.24/818.81 = 351.44/x
  3. Step 3: Cross multiply
    546.24x = 818.81 × 351.44
  4. Step 4: Simplify right side
    546.24x = 287,761.12
  5. Step 5: Solve for x
    x = 287,761.12/546.24
  6. Step 6: Final answer
    x = 526.80

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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.