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Finding the Fourth Proportional to 325.64, 487.20 and 274.36

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Solution

The fourth proportional to 325.64, 487.20 and 274.36 is: 410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.64 : 487.20 = 274.36 : x
  2. Step 2: Convert to fraction form
    325.64/487.20 = 274.36/x
  3. Step 3: Cross multiply
    325.64x = 487.20 × 274.36
  4. Step 4: Simplify right side
    325.64x = 133,668.19
  5. Step 5: Solve for x
    x = 133,668.19/325.64
  6. Step 6: Final answer
    x = 410.48

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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.