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Finding the Fourth Proportional to 624.89, 936.16 and 277.85

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Solution

The fourth proportional to 624.89, 936.16 and 277.85 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.89 : 936.16 = 277.85 : x
  2. Step 2: Convert to fraction form
    624.89/936.16 = 277.85/x
  3. Step 3: Cross multiply
    624.89x = 936.16 × 277.85
  4. Step 4: Simplify right side
    624.89x = 260,112.06
  5. Step 5: Solve for x
    x = 260,112.06/624.89
  6. Step 6: Final answer
    x = 416.25

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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.