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Finding the Fourth Proportional to 623.98, 935.97 and 277.23

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Solution

The fourth proportional to 623.98, 935.97 and 277.23 is: 415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.98 : 935.97 = 277.23 : x
  2. Step 2: Convert to fraction form
    623.98/935.97 = 277.23/x
  3. Step 3: Cross multiply
    623.98x = 935.97 × 277.23
  4. Step 4: Simplify right side
    623.98x = 259,478.96
  5. Step 5: Solve for x
    x = 259,478.96/623.98
  6. Step 6: Final answer
    x = 415.85

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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.