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Finding the Fourth Proportional to 645.68, 889.05 and 496.46

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Solution

The fourth proportional to 645.68, 889.05 and 496.46 is: 683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.68 : 889.05 = 496.46 : x
  2. Step 2: Convert to fraction form
    645.68/889.05 = 496.46/x
  3. Step 3: Cross multiply
    645.68x = 889.05 × 496.46
  4. Step 4: Simplify right side
    645.68x = 441,377.76
  5. Step 5: Solve for x
    x = 441,377.76/645.68
  6. Step 6: Final answer
    x = 683.59

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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.