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Finding the Fourth Proportional to 275.05, 412.75 and 214.30

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Solution

The fourth proportional to 275.05, 412.75 and 214.30 is: 321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.05 : 412.75 = 214.30 : x
  2. Step 2: Convert to fraction form
    275.05/412.75 = 214.30/x
  3. Step 3: Cross multiply
    275.05x = 412.75 × 214.30
  4. Step 4: Simplify right side
    275.05x = 88,449.58
  5. Step 5: Solve for x
    x = 88,449.58/275.05
  6. Step 6: Final answer
    x = 321.58

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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.