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Finding the Fourth Proportional to 546.02, 819.08 and 175.73

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Solution

The fourth proportional to 546.02, 819.08 and 175.73 is: 263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.02 : 819.08 = 175.73 : x
  2. Step 2: Convert to fraction form
    546.02/819.08 = 175.73/x
  3. Step 3: Cross multiply
    546.02x = 819.08 × 175.73
  4. Step 4: Simplify right side
    546.02x = 143,938.10
  5. Step 5: Solve for x
    x = 143,938.10/546.02
  6. Step 6: Final answer
    x = 263.62

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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.