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Finding the Fourth Proportional to 664.07, 917.17 and 496.63

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Solution

The fourth proportional to 664.07, 917.17 and 496.63 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.07 : 917.17 = 496.63 : x
  2. Step 2: Convert to fraction form
    664.07/917.17 = 496.63/x
  3. Step 3: Cross multiply
    664.07x = 917.17 × 496.63
  4. Step 4: Simplify right side
    664.07x = 455,496.84
  5. Step 5: Solve for x
    x = 455,496.84/664.07
  6. Step 6: Final answer
    x = 685.91

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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.