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Finding the Fourth Proportional to 409.70, 613.20 and 317.90

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Solution

The fourth proportional to 409.70, 613.20 and 317.90 is: 475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.70 : 613.20 = 317.90 : x
  2. Step 2: Convert to fraction form
    409.70/613.20 = 317.90/x
  3. Step 3: Cross multiply
    409.70x = 613.20 × 317.90
  4. Step 4: Simplify right side
    409.70x = 194,936.28
  5. Step 5: Solve for x
    x = 194,936.28/409.70
  6. Step 6: Final answer
    x = 475.80

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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.