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Finding the Fourth Proportional to 624.75, 935.87 and 277.26

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Solution

The fourth proportional to 624.75, 935.87 and 277.26 is: 415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.75 : 935.87 = 277.26 : x
  2. Step 2: Convert to fraction form
    624.75/935.87 = 277.26/x
  3. Step 3: Cross multiply
    624.75x = 935.87 × 277.26
  4. Step 4: Simplify right side
    624.75x = 259,477.93
  5. Step 5: Solve for x
    x = 259,477.93/624.75
  6. Step 6: Final answer
    x = 415.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.