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Finding the Fourth Proportional to 468.96, 647.09 and 282.49

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Solution

The fourth proportional to 468.96, 647.09 and 282.49 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.96 : 647.09 = 282.49 : x
  2. Step 2: Convert to fraction form
    468.96/647.09 = 282.49/x
  3. Step 3: Cross multiply
    468.96x = 647.09 × 282.49
  4. Step 4: Simplify right side
    468.96x = 182,796.45
  5. Step 5: Solve for x
    x = 182,796.45/468.96
  6. Step 6: Final answer
    x = 389.80

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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.