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Finding the Fourth Proportional to 615.73, 923.86 and 327.10

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Solution

The fourth proportional to 615.73, 923.86 and 327.10 is: 490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.73 : 923.86 = 327.10 : x
  2. Step 2: Convert to fraction form
    615.73/923.86 = 327.10/x
  3. Step 3: Cross multiply
    615.73x = 923.86 × 327.10
  4. Step 4: Simplify right side
    615.73x = 302,191.48
  5. Step 5: Solve for x
    x = 302,191.48/615.73
  6. Step 6: Final answer
    x = 490.79

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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.