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Finding the Fourth Proportional to 546.97, 819.10 and 373

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Solution

The fourth proportional to 546.97, 819.10 and 373 is: 558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.97 : 819.10 = 373 : x
  2. Step 2: Convert to fraction form
    546.97/819.10 = 373/x
  3. Step 3: Cross multiply
    546.97x = 819.10 × 373
  4. Step 4: Simplify right side
    546.97x = 305,524.30
  5. Step 5: Solve for x
    x = 305,524.30/546.97
  6. Step 6: Final answer
    x = 558.58

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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.