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Finding the Fourth Proportional to 644.86, 889.08 and 468.08

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Solution

The fourth proportional to 644.86, 889.08 and 468.08 is: 645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.86 : 889.08 = 468.08 : x
  2. Step 2: Convert to fraction form
    644.86/889.08 = 468.08/x
  3. Step 3: Cross multiply
    644.86x = 889.08 × 468.08
  4. Step 4: Simplify right side
    644.86x = 416,157.70
  5. Step 5: Solve for x
    x = 416,157.70/644.86
  6. Step 6: Final answer
    x = 645.34

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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.