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Finding the Fourth Proportional to 644.90, 889.64 and 434.80

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Solution

The fourth proportional to 644.90, 889.64 and 434.80 is: 599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.90 : 889.64 = 434.80 : x
  2. Step 2: Convert to fraction form
    644.90/889.64 = 434.80/x
  3. Step 3: Cross multiply
    644.90x = 889.64 × 434.80
  4. Step 4: Simplify right side
    644.90x = 386,815.47
  5. Step 5: Solve for x
    x = 386,815.47/644.90
  6. Step 6: Final answer
    x = 599.81

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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.