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Finding the Fourth Proportional to 579.30, 872.44 and 546.90

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Solution

The fourth proportional to 579.30, 872.44 and 546.90 is: 823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.30 : 872.44 = 546.90 : x
  2. Step 2: Convert to fraction form
    579.30/872.44 = 546.90/x
  3. Step 3: Cross multiply
    579.30x = 872.44 × 546.90
  4. Step 4: Simplify right side
    579.30x = 477,134.70
  5. Step 5: Solve for x
    x = 477,134.70/579.30
  6. Step 6: Final answer
    x = 823.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.