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Finding the Fourth Proportional to 416.40, 626.85 and 308.88

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Solution

The fourth proportional to 416.40, 626.85 and 308.88 is: 464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 626.85 = 308.88 : x
  2. Step 2: Convert to fraction form
    416.40/626.85 = 308.88/x
  3. Step 3: Cross multiply
    416.40x = 626.85 × 308.88
  4. Step 4: Simplify right side
    416.40x = 193,621.43
  5. Step 5: Solve for x
    x = 193,621.43/416.40
  6. Step 6: Final answer
    x = 464.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.