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Finding the Fourth Proportional to 475.40, 655.80 and 309.44

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Solution

The fourth proportional to 475.40, 655.80 and 309.44 is: 426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.40 : 655.80 = 309.44 : x
  2. Step 2: Convert to fraction form
    475.40/655.80 = 309.44/x
  3. Step 3: Cross multiply
    475.40x = 655.80 × 309.44
  4. Step 4: Simplify right side
    475.40x = 202,930.75
  5. Step 5: Solve for x
    x = 202,930.75/475.40
  6. Step 6: Final answer
    x = 426.86

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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.