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Finding the Fourth Proportional to 546.80, 819.12 and 354.02

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Solution

The fourth proportional to 546.80, 819.12 and 354.02 is: 530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.80 : 819.12 = 354.02 : x
  2. Step 2: Convert to fraction form
    546.80/819.12 = 354.02/x
  3. Step 3: Cross multiply
    546.80x = 819.12 × 354.02
  4. Step 4: Simplify right side
    546.80x = 289,984.86
  5. Step 5: Solve for x
    x = 289,984.86/546.80
  6. Step 6: Final answer
    x = 530.33

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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.