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Finding the Fourth Proportional to 400.14, 596.00 and 379.14

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Solution

The fourth proportional to 400.14, 596.00 and 379.14 is: 564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.14 : 596.00 = 379.14 : x
  2. Step 2: Convert to fraction form
    400.14/596.00 = 379.14/x
  3. Step 3: Cross multiply
    400.14x = 596.00 × 379.14
  4. Step 4: Simplify right side
    400.14x = 225,965.54
  5. Step 5: Solve for x
    x = 225,965.54/400.14
  6. Step 6: Final answer
    x = 564.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.