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Finding the Fourth Proportional to 647.86, 894.21 and 382.33

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Solution

The fourth proportional to 647.86, 894.21 and 382.33 is: 527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.86 : 894.21 = 382.33 : x
  2. Step 2: Convert to fraction form
    647.86/894.21 = 382.33/x
  3. Step 3: Cross multiply
    647.86x = 894.21 × 382.33
  4. Step 4: Simplify right side
    647.86x = 341,883.31
  5. Step 5: Solve for x
    x = 341,883.31/647.86
  6. Step 6: Final answer
    x = 527.71

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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.