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Finding the Fourth Proportional to 443.08, 664.48 and 289.82

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Solution

The fourth proportional to 443.08, 664.48 and 289.82 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.08 : 664.48 = 289.82 : x
  2. Step 2: Convert to fraction form
    443.08/664.48 = 289.82/x
  3. Step 3: Cross multiply
    443.08x = 664.48 × 289.82
  4. Step 4: Simplify right side
    443.08x = 192,580.53
  5. Step 5: Solve for x
    x = 192,580.53/443.08
  6. Step 6: Final answer
    x = 434.64

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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.