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Finding the Fourth Proportional to 648.14, 894.43 and 353.41

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Solution

The fourth proportional to 648.14, 894.43 and 353.41 is: 487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.14 : 894.43 = 353.41 : x
  2. Step 2: Convert to fraction form
    648.14/894.43 = 353.41/x
  3. Step 3: Cross multiply
    648.14x = 894.43 × 353.41
  4. Step 4: Simplify right side
    648.14x = 316,100.51
  5. Step 5: Solve for x
    x = 316,100.51/648.14
  6. Step 6: Final answer
    x = 487.70

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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.