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Finding the Fourth Proportional to 648.19, 894.30 and 382.57

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Solution

The fourth proportional to 648.19, 894.30 and 382.57 is: 527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.19 : 894.30 = 382.57 : x
  2. Step 2: Convert to fraction form
    648.19/894.30 = 382.57/x
  3. Step 3: Cross multiply
    648.19x = 894.30 × 382.57
  4. Step 4: Simplify right side
    648.19x = 342,132.35
  5. Step 5: Solve for x
    x = 342,132.35/648.19
  6. Step 6: Final answer
    x = 527.83

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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.