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Finding the Fourth Proportional to 615.64, 923.72 and 327

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Solution

The fourth proportional to 615.64, 923.72 and 327 is: 490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.64 : 923.72 = 327 : x
  2. Step 2: Convert to fraction form
    615.64/923.72 = 327/x
  3. Step 3: Cross multiply
    615.64x = 923.72 × 327
  4. Step 4: Simplify right side
    615.64x = 302,056.44
  5. Step 5: Solve for x
    x = 302,056.44/615.64
  6. Step 6: Final answer
    x = 490.64

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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.