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Finding the Fourth Proportional to 664.71, 917.35 and 440.26

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Solution

The fourth proportional to 664.71, 917.35 and 440.26 is: 607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.71 : 917.35 = 440.26 : x
  2. Step 2: Convert to fraction form
    664.71/917.35 = 440.26/x
  3. Step 3: Cross multiply
    664.71x = 917.35 × 440.26
  4. Step 4: Simplify right side
    664.71x = 403,876.75
  5. Step 5: Solve for x
    x = 403,876.75/664.71
  6. Step 6: Final answer
    x = 607.59

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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.