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Finding the Fourth Proportional to 330.88, 456.89 and 289.91

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Solution

The fourth proportional to 330.88, 456.89 and 289.91 is: 400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.88 : 456.89 = 289.91 : x
  2. Step 2: Convert to fraction form
    330.88/456.89 = 289.91/x
  3. Step 3: Cross multiply
    330.88x = 456.89 × 289.91
  4. Step 4: Simplify right side
    330.88x = 132,456.98
  5. Step 5: Solve for x
    x = 132,456.98/330.88
  6. Step 6: Final answer
    x = 400.32

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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.