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Finding the Fourth Proportional to 621.88, 930.92 and 414.79

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Solution

The fourth proportional to 621.88, 930.92 and 414.79 is: 620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.88 : 930.92 = 414.79 : x
  2. Step 2: Convert to fraction form
    621.88/930.92 = 414.79/x
  3. Step 3: Cross multiply
    621.88x = 930.92 × 414.79
  4. Step 4: Simplify right side
    621.88x = 386,131.65
  5. Step 5: Solve for x
    x = 386,131.65/621.88
  6. Step 6: Final answer
    x = 620.92

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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.