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Finding the Fourth Proportional to 643.74, 888.16 and 496.12

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Solution

The fourth proportional to 643.74, 888.16 and 496.12 is: 684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.74 : 888.16 = 496.12 : x
  2. Step 2: Convert to fraction form
    643.74/888.16 = 496.12/x
  3. Step 3: Cross multiply
    643.74x = 888.16 × 496.12
  4. Step 4: Simplify right side
    643.74x = 440,633.94
  5. Step 5: Solve for x
    x = 440,633.94/643.74
  6. Step 6: Final answer
    x = 684.49

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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.