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Finding the Fourth Proportional to 665.85, 918.84 and 371.10

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Solution

The fourth proportional to 665.85, 918.84 and 371.10 is: 512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.85 : 918.84 = 371.10 : x
  2. Step 2: Convert to fraction form
    665.85/918.84 = 371.10/x
  3. Step 3: Cross multiply
    665.85x = 918.84 × 371.10
  4. Step 4: Simplify right side
    665.85x = 340,976.93
  5. Step 5: Solve for x
    x = 340,976.93/665.85
  6. Step 6: Final answer
    x = 512.10

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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.