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Finding the Fourth Proportional to 546.40, 819.60 and 522.70

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Solution

The fourth proportional to 546.40, 819.60 and 522.70 is: 784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 819.60 = 522.70 : x
  2. Step 2: Convert to fraction form
    546.40/819.60 = 522.70/x
  3. Step 3: Cross multiply
    546.40x = 819.60 × 522.70
  4. Step 4: Simplify right side
    546.40x = 428,404.92
  5. Step 5: Solve for x
    x = 428,404.92/546.40
  6. Step 6: Final answer
    x = 784.05

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