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Finding the Fourth Proportional to 644.06, 889.03 and 434.10

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Solution

The fourth proportional to 644.06, 889.03 and 434.10 is: 599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.06 : 889.03 = 434.10 : x
  2. Step 2: Convert to fraction form
    644.06/889.03 = 434.10/x
  3. Step 3: Cross multiply
    644.06x = 889.03 × 434.10
  4. Step 4: Simplify right side
    644.06x = 385,929.36
  5. Step 5: Solve for x
    x = 385,929.36/644.06
  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.