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Finding the Fourth Proportional to 546.06, 813.57 and 518.52

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Solution

The fourth proportional to 546.06, 813.57 and 518.52 is: 772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.06 : 813.57 = 518.52 : x
  2. Step 2: Convert to fraction form
    546.06/813.57 = 518.52/x
  3. Step 3: Cross multiply
    546.06x = 813.57 × 518.52
  4. Step 4: Simplify right side
    546.06x = 421,852.32
  5. Step 5: Solve for x
    x = 421,852.32/546.06
  6. Step 6: Final answer
    x = 772.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.