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Finding the Fourth Proportional to 624.43, 936.27 and 277.59

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Solution

The fourth proportional to 624.43, 936.27 and 277.59 is: 416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.43 : 936.27 = 277.59 : x
  2. Step 2: Convert to fraction form
    624.43/936.27 = 277.59/x
  3. Step 3: Cross multiply
    624.43x = 936.27 × 277.59
  4. Step 4: Simplify right side
    624.43x = 259,899.19
  5. Step 5: Solve for x
    x = 259,899.19/624.43
  6. Step 6: Final answer
    x = 416.22

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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.