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Finding the Fourth Proportional to 475.57, 655.98 and 301.03

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Solution

The fourth proportional to 475.57, 655.98 and 301.03 is: 415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.57 : 655.98 = 301.03 : x
  2. Step 2: Convert to fraction form
    475.57/655.98 = 301.03/x
  3. Step 3: Cross multiply
    475.57x = 655.98 × 301.03
  4. Step 4: Simplify right side
    475.57x = 197,469.66
  5. Step 5: Solve for x
    x = 197,469.66/475.57
  6. Step 6: Final answer
    x = 415.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.