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Finding the Fourth Proportional to 615.57, 923.69 and 327.00

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Solution

The fourth proportional to 615.57, 923.69 and 327.00 is: 490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.57 : 923.69 = 327.00 : x
  2. Step 2: Convert to fraction form
    615.57/923.69 = 327.00/x
  3. Step 3: Cross multiply
    615.57x = 923.69 × 327.00
  4. Step 4: Simplify right side
    615.57x = 302,044.60
  5. Step 5: Solve for x
    x = 302,044.60/615.57
  6. Step 6: Final answer
    x = 490.68

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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.