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Finding the Fourth Proportional to 330.26, 456.64 and 289.27

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Solution

The fourth proportional to 330.26, 456.64 and 289.27 is: 399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.26 : 456.64 = 289.27 : x
  2. Step 2: Convert to fraction form
    330.26/456.64 = 289.27/x
  3. Step 3: Cross multiply
    330.26x = 456.64 × 289.27
  4. Step 4: Simplify right side
    330.26x = 132,090.39
  5. Step 5: Solve for x
    x = 132,090.39/330.26
  6. Step 6: Final answer
    x = 399.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.