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Finding the Fourth Proportional to 664.77, 917.28 and 385.04

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Solution

The fourth proportional to 664.77, 917.28 and 385.04 is: 531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.77 : 917.28 = 385.04 : x
  2. Step 2: Convert to fraction form
    664.77/917.28 = 385.04/x
  3. Step 3: Cross multiply
    664.77x = 917.28 × 385.04
  4. Step 4: Simplify right side
    664.77x = 353,186.35
  5. Step 5: Solve for x
    x = 353,186.35/664.77
  6. Step 6: Final answer
    x = 531.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.