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Finding the Fourth Proportional to 648.39, 894.65 and 382.82

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Solution

The fourth proportional to 648.39, 894.65 and 382.82 is: 528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.39 : 894.65 = 382.82 : x
  2. Step 2: Convert to fraction form
    648.39/894.65 = 382.82/x
  3. Step 3: Cross multiply
    648.39x = 894.65 × 382.82
  4. Step 4: Simplify right side
    648.39x = 342,483.53
  5. Step 5: Solve for x
    x = 342,483.53/648.39
  6. Step 6: Final answer
    x = 528.21

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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.