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Finding the Fourth Proportional to 390.11, 538.29 and 224.33

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Solution

The fourth proportional to 390.11, 538.29 and 224.33 is: 309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.11 : 538.29 = 224.33 : x
  2. Step 2: Convert to fraction form
    390.11/538.29 = 224.33/x
  3. Step 3: Cross multiply
    390.11x = 538.29 × 224.33
  4. Step 4: Simplify right side
    390.11x = 120,754.60
  5. Step 5: Solve for x
    x = 120,754.60/390.11
  6. Step 6: Final answer
    x = 309.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.