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Finding the Fourth Proportional to 664.91, 917.54 and 366.14

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Solution

The fourth proportional to 664.91, 917.54 and 366.14 is: 505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.91 : 917.54 = 366.14 : x
  2. Step 2: Convert to fraction form
    664.91/917.54 = 366.14/x
  3. Step 3: Cross multiply
    664.91x = 917.54 × 366.14
  4. Step 4: Simplify right side
    664.91x = 335,946.26
  5. Step 5: Solve for x
    x = 335,946.26/664.91
  6. Step 6: Final answer
    x = 505.25

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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.