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Finding the Fourth Proportional to 664.40, 917.17 and 478.81

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Solution

The fourth proportional to 664.40, 917.17 and 478.81 is: 660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 917.17 = 478.81 : x
  2. Step 2: Convert to fraction form
    664.40/917.17 = 478.81/x
  3. Step 3: Cross multiply
    664.40x = 917.17 × 478.81
  4. Step 4: Simplify right side
    664.40x = 439,152.81
  5. Step 5: Solve for x
    x = 439,152.81/664.40
  6. Step 6: Final answer
    x = 660.97

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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.