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Finding the Fourth Proportional to 328.28, 491.52 and 262.96

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Solution

The fourth proportional to 328.28, 491.52 and 262.96 is: 393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.28 : 491.52 = 262.96 : x
  2. Step 2: Convert to fraction form
    328.28/491.52 = 262.96/x
  3. Step 3: Cross multiply
    328.28x = 491.52 × 262.96
  4. Step 4: Simplify right side
    328.28x = 129,250.10
  5. Step 5: Solve for x
    x = 129,250.10/328.28
  6. Step 6: Final answer
    x = 393.72

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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.