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Finding the Fourth Proportional to 665.56, 918.48 and 385.82

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Solution

The fourth proportional to 665.56, 918.48 and 385.82 is: 532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.56 : 918.48 = 385.82 : x
  2. Step 2: Convert to fraction form
    665.56/918.48 = 385.82/x
  3. Step 3: Cross multiply
    665.56x = 918.48 × 385.82
  4. Step 4: Simplify right side
    665.56x = 354,363.36
  5. Step 5: Solve for x
    x = 354,363.36/665.56
  6. Step 6: Final answer
    x = 532.43

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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.