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Finding the Fourth Proportional to 622.91, 936.18 and 407.84

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Solution

The fourth proportional to 622.91, 936.18 and 407.84 is: 612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.91 : 936.18 = 407.84 : x
  2. Step 2: Convert to fraction form
    622.91/936.18 = 407.84/x
  3. Step 3: Cross multiply
    622.91x = 936.18 × 407.84
  4. Step 4: Simplify right side
    622.91x = 381,811.65
  5. Step 5: Solve for x
    x = 381,811.65/622.91
  6. Step 6: Final answer
    x = 612.95

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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.