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Finding the Fourth Proportional to 664.70, 917.38 and 416.26

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Solution

The fourth proportional to 664.70, 917.38 and 416.26 is: 574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.70 : 917.38 = 416.26 : x
  2. Step 2: Convert to fraction form
    664.70/917.38 = 416.26/x
  3. Step 3: Cross multiply
    664.70x = 917.38 × 416.26
  4. Step 4: Simplify right side
    664.70x = 381,868.60
  5. Step 5: Solve for x
    x = 381,868.60/664.70
  6. Step 6: Final answer
    x = 574.50

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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.