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Finding the Fourth Proportional to 615.46, 923.36 and 268.82

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Solution

The fourth proportional to 615.46, 923.36 and 268.82 is: 403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.46 : 923.36 = 268.82 : x
  2. Step 2: Convert to fraction form
    615.46/923.36 = 268.82/x
  3. Step 3: Cross multiply
    615.46x = 923.36 × 268.82
  4. Step 4: Simplify right side
    615.46x = 248,220.33
  5. Step 5: Solve for x
    x = 248,220.33/615.46
  6. Step 6: Final answer
    x = 403.31

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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.