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Finding the Fourth Proportional to 455.30, 628.41 and 289.73

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Solution

The fourth proportional to 455.30, 628.41 and 289.73 is: 399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.30 : 628.41 = 289.73 : x
  2. Step 2: Convert to fraction form
    455.30/628.41 = 289.73/x
  3. Step 3: Cross multiply
    455.30x = 628.41 × 289.73
  4. Step 4: Simplify right side
    455.30x = 182,066.09
  5. Step 5: Solve for x
    x = 182,066.09/455.30
  6. Step 6: Final answer
    x = 399.89

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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.