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Finding the Fourth Proportional to 400.38, 601.11 and 309.66

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Solution

The fourth proportional to 400.38, 601.11 and 309.66 is: 464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.38 : 601.11 = 309.66 : x
  2. Step 2: Convert to fraction form
    400.38/601.11 = 309.66/x
  3. Step 3: Cross multiply
    400.38x = 601.11 × 309.66
  4. Step 4: Simplify right side
    400.38x = 186,139.72
  5. Step 5: Solve for x
    x = 186,139.72/400.38
  6. Step 6: Final answer
    x = 464.91

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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.