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Finding the Fourth Proportional to 645.39, 889.89 and 468

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Solution

The fourth proportional to 645.39, 889.89 and 468 is: 645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.39 : 889.89 = 468 : x
  2. Step 2: Convert to fraction form
    645.39/889.89 = 468/x
  3. Step 3: Cross multiply
    645.39x = 889.89 × 468
  4. Step 4: Simplify right side
    645.39x = 416,468.52
  5. Step 5: Solve for x
    x = 416,468.52/645.39
  6. Step 6: Final answer
    x = 645.30

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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.