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Finding the Fourth Proportional to 552.06, 828.60 and 475.80

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Solution

The fourth proportional to 552.06, 828.60 and 475.80 is: 714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.06 : 828.60 = 475.80 : x
  2. Step 2: Convert to fraction form
    552.06/828.60 = 475.80/x
  3. Step 3: Cross multiply
    552.06x = 828.60 × 475.80
  4. Step 4: Simplify right side
    552.06x = 394,247.88
  5. Step 5: Solve for x
    x = 394,247.88/552.06
  6. Step 6: Final answer
    x = 714.14

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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.