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Finding the Fourth Proportional to 390.36, 538.64 and 224.54

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Solution

The fourth proportional to 390.36, 538.64 and 224.54 is: 309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.36 : 538.64 = 224.54 : x
  2. Step 2: Convert to fraction form
    390.36/538.64 = 224.54/x
  3. Step 3: Cross multiply
    390.36x = 538.64 × 224.54
  4. Step 4: Simplify right side
    390.36x = 120,942.41
  5. Step 5: Solve for x
    x = 120,942.41/390.36
  6. Step 6: Final answer
    x = 309.82

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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.