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Finding the Fourth Proportional to 407.44, 608.10 and 310.80

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Solution

The fourth proportional to 407.44, 608.10 and 310.80 is: 463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.44 : 608.10 = 310.80 : x
  2. Step 2: Convert to fraction form
    407.44/608.10 = 310.80/x
  3. Step 3: Cross multiply
    407.44x = 608.10 × 310.80
  4. Step 4: Simplify right side
    407.44x = 188,997.48
  5. Step 5: Solve for x
    x = 188,997.48/407.44
  6. Step 6: Final answer
    x = 463.87

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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.