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Finding the Fourth Proportional to 665.72, 918.69 and 371.06

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Solution

The fourth proportional to 665.72, 918.69 and 371.06 is: 512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.72 : 918.69 = 371.06 : x
  2. Step 2: Convert to fraction form
    665.72/918.69 = 371.06/x
  3. Step 3: Cross multiply
    665.72x = 918.69 × 371.06
  4. Step 4: Simplify right side
    665.72x = 340,893.83
  5. Step 5: Solve for x
    x = 340,893.83/665.72
  6. Step 6: Final answer
    x = 512.07

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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.