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Finding the Fourth Proportional to 643.19, 886.56 and 456.68

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Solution

The fourth proportional to 643.19, 886.56 and 456.68 is: 629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.19 : 886.56 = 456.68 : x
  2. Step 2: Convert to fraction form
    643.19/886.56 = 456.68/x
  3. Step 3: Cross multiply
    643.19x = 886.56 × 456.68
  4. Step 4: Simplify right side
    643.19x = 404,874.22
  5. Step 5: Solve for x
    x = 404,874.22/643.19
  6. Step 6: Final answer
    x = 629.48

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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.