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Finding the Fourth Proportional to 664.56, 917.10 and 454.32

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Solution

The fourth proportional to 664.56, 917.10 and 454.32 is: 626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.56 : 917.10 = 454.32 : x
  2. Step 2: Convert to fraction form
    664.56/917.10 = 454.32/x
  3. Step 3: Cross multiply
    664.56x = 917.10 × 454.32
  4. Step 4: Simplify right side
    664.56x = 416,656.87
  5. Step 5: Solve for x
    x = 416,656.87/664.56
  6. Step 6: Final answer
    x = 626.97

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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.