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Finding the Fourth Proportional to 624.84, 936.74 and 418.79

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Solution

The fourth proportional to 624.84, 936.74 and 418.79 is: 627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.84 : 936.74 = 418.79 : x
  2. Step 2: Convert to fraction form
    624.84/936.74 = 418.79/x
  3. Step 3: Cross multiply
    624.84x = 936.74 × 418.79
  4. Step 4: Simplify right side
    624.84x = 392,290.57
  5. Step 5: Solve for x
    x = 392,290.57/624.84
  6. Step 6: Final answer
    x = 627.83

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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.