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Finding the Fourth Proportional to 648.26, 972.01 and 443.07

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Solution

The fourth proportional to 648.26, 972.01 and 443.07 is: 664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.26 : 972.01 = 443.07 : x
  2. Step 2: Convert to fraction form
    648.26/972.01 = 443.07/x
  3. Step 3: Cross multiply
    648.26x = 972.01 × 443.07
  4. Step 4: Simplify right side
    648.26x = 430,668.47
  5. Step 5: Solve for x
    x = 430,668.47/648.26
  6. Step 6: Final answer
    x = 664.35

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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.