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Finding the Fourth Proportional to 665.66, 918.65 and 371.03

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Solution

The fourth proportional to 665.66, 918.65 and 371.03 is: 512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.66 : 918.65 = 371.03 : x
  2. Step 2: Convert to fraction form
    665.66/918.65 = 371.03/x
  3. Step 3: Cross multiply
    665.66x = 918.65 × 371.03
  4. Step 4: Simplify right side
    665.66x = 340,840.26
  5. Step 5: Solve for x
    x = 340,840.26/665.66
  6. Step 6: Final answer
    x = 512.03

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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.