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Finding the Fourth Proportional to 648.26, 894.59 and 353.54

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Solution

The fourth proportional to 648.26, 894.59 and 353.54 is: 487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.26 : 894.59 = 353.54 : x
  2. Step 2: Convert to fraction form
    648.26/894.59 = 353.54/x
  3. Step 3: Cross multiply
    648.26x = 894.59 × 353.54
  4. Step 4: Simplify right side
    648.26x = 316,272.00
  5. Step 5: Solve for x
    x = 316,272.00/648.26
  6. Step 6: Final answer
    x = 487.88

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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.