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Finding the Fourth Proportional to 643.97, 888.81 and 434.15

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Solution

The fourth proportional to 643.97, 888.81 and 434.15 is: 599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.97 : 888.81 = 434.15 : x
  2. Step 2: Convert to fraction form
    643.97/888.81 = 434.15/x
  3. Step 3: Cross multiply
    643.97x = 888.81 × 434.15
  4. Step 4: Simplify right side
    643.97x = 385,874.69
  5. Step 5: Solve for x
    x = 385,874.69/643.97
  6. Step 6: Final answer
    x = 599.21

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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.