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Finding the Fourth Proportional to 644.39, 888.96 and 434.49

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Solution

The fourth proportional to 644.39, 888.96 and 434.49 is: 599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.39 : 888.96 = 434.49 : x
  2. Step 2: Convert to fraction form
    644.39/888.96 = 434.49/x
  3. Step 3: Cross multiply
    644.39x = 888.96 × 434.49
  4. Step 4: Simplify right side
    644.39x = 386,247.54
  5. Step 5: Solve for x
    x = 386,247.54/644.39
  6. Step 6: Final answer
    x = 599.40

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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.