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Finding the Fourth Proportional to 665.94, 999.60 and 406.23

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Solution

The fourth proportional to 665.94, 999.60 and 406.23 is: 609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.94 : 999.60 = 406.23 : x
  2. Step 2: Convert to fraction form
    665.94/999.60 = 406.23/x
  3. Step 3: Cross multiply
    665.94x = 999.60 × 406.23
  4. Step 4: Simplify right side
    665.94x = 406,067.51
  5. Step 5: Solve for x
    x = 406,067.51/665.94
  6. Step 6: Final answer
    x = 609.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.