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Finding the Fourth Proportional to 439.73, 659.68 and 302.84

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Solution

The fourth proportional to 439.73, 659.68 and 302.84 is: 454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.73 : 659.68 = 302.84 : x
  2. Step 2: Convert to fraction form
    439.73/659.68 = 302.84/x
  3. Step 3: Cross multiply
    439.73x = 659.68 × 302.84
  4. Step 4: Simplify right side
    439.73x = 199,772.68
  5. Step 5: Solve for x
    x = 199,772.68/439.73
  6. Step 6: Final answer
    x = 454.31

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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.