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Finding the Fourth Proportional to 664.53, 917.37 and 415.98

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Solution

The fourth proportional to 664.53, 917.37 and 415.98 is: 574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.53 : 917.37 = 415.98 : x
  2. Step 2: Convert to fraction form
    664.53/917.37 = 415.98/x
  3. Step 3: Cross multiply
    664.53x = 917.37 × 415.98
  4. Step 4: Simplify right side
    664.53x = 381,607.57
  5. Step 5: Solve for x
    x = 381,607.57/664.53
  6. Step 6: Final answer
    x = 574.25

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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.