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Finding the Fourth Proportional to 648.39, 894.33 and 452.19

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Solution

The fourth proportional to 648.39, 894.33 and 452.19 is: 623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.39 : 894.33 = 452.19 : x
  2. Step 2: Convert to fraction form
    648.39/894.33 = 452.19/x
  3. Step 3: Cross multiply
    648.39x = 894.33 × 452.19
  4. Step 4: Simplify right side
    648.39x = 404,407.08
  5. Step 5: Solve for x
    x = 404,407.08/648.39
  6. Step 6: Final answer
    x = 623.71

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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.