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Finding the Fourth Proportional to 648.25, 894.60 and 399.74

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Solution

The fourth proportional to 648.25, 894.60 and 399.74 is: 551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.25 : 894.60 = 399.74 : x
  2. Step 2: Convert to fraction form
    648.25/894.60 = 399.74/x
  3. Step 3: Cross multiply
    648.25x = 894.60 × 399.74
  4. Step 4: Simplify right side
    648.25x = 357,604.43
  5. Step 5: Solve for x
    x = 357,604.43/648.25
  6. Step 6: Final answer
    x = 551.64

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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.