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Finding the Fourth Proportional to 414.90, 622.32 and 312.71

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Solution

The fourth proportional to 414.90, 622.32 and 312.71 is: 469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.90 : 622.32 = 312.71 : x
  2. Step 2: Convert to fraction form
    414.90/622.32 = 312.71/x
  3. Step 3: Cross multiply
    414.90x = 622.32 × 312.71
  4. Step 4: Simplify right side
    414.90x = 194,601.40
  5. Step 5: Solve for x
    x = 194,601.40/414.90
  6. Step 6: Final answer
    x = 469.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.