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Finding the Fourth Proportional to 665.91, 919.61 and 445.38

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Solution

The fourth proportional to 665.91, 919.61 and 445.38 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.91 : 919.61 = 445.38 : x
  2. Step 2: Convert to fraction form
    665.91/919.61 = 445.38/x
  3. Step 3: Cross multiply
    665.91x = 919.61 × 445.38
  4. Step 4: Simplify right side
    665.91x = 409,573.67
  5. Step 5: Solve for x
    x = 409,573.67/665.91
  6. Step 6: Final answer
    x = 615.06

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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.