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Finding the Fourth Proportional to 664.75, 917.37 and 402.94

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Solution

The fourth proportional to 664.75, 917.37 and 402.94 is: 556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.75 : 917.37 = 402.94 : x
  2. Step 2: Convert to fraction form
    664.75/917.37 = 402.94/x
  3. Step 3: Cross multiply
    664.75x = 917.37 × 402.94
  4. Step 4: Simplify right side
    664.75x = 369,645.07
  5. Step 5: Solve for x
    x = 369,645.07/664.75
  6. Step 6: Final answer
    x = 556.07

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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.