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Finding the Fourth Proportional to 648.52, 894.94 and 353.80

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Solution

The fourth proportional to 648.52, 894.94 and 353.80 is: 488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.52 : 894.94 = 353.80 : x
  2. Step 2: Convert to fraction form
    648.52/894.94 = 353.80/x
  3. Step 3: Cross multiply
    648.52x = 894.94 × 353.80
  4. Step 4: Simplify right side
    648.52x = 316,629.77
  5. Step 5: Solve for x
    x = 316,629.77/648.52
  6. Step 6: Final answer
    x = 488.23

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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.