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Finding the Fourth Proportional to 648.02, 894.21 and 382.47

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Solution

The fourth proportional to 648.02, 894.21 and 382.47 is: 527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 894.21 = 382.47 : x
  2. Step 2: Convert to fraction form
    648.02/894.21 = 382.47/x
  3. Step 3: Cross multiply
    648.02x = 894.21 × 382.47
  4. Step 4: Simplify right side
    648.02x = 342,008.74
  5. Step 5: Solve for x
    x = 342,008.74/648.02
  6. Step 6: Final answer
    x = 527.78

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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.