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Finding the Fourth Proportional to 358.44, 538.62 and 214.28

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Solution

The fourth proportional to 358.44, 538.62 and 214.28 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.44 : 538.62 = 214.28 : x
  2. Step 2: Convert to fraction form
    358.44/538.62 = 214.28/x
  3. Step 3: Cross multiply
    358.44x = 538.62 × 214.28
  4. Step 4: Simplify right side
    358.44x = 115,415.49
  5. Step 5: Solve for x
    x = 115,415.49/358.44
  6. Step 6: Final answer
    x = 321.99

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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.