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Finding the Fourth Proportional to 305.73, 458.73 and 214.20

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Solution

The fourth proportional to 305.73, 458.73 and 214.20 is: 321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.73 : 458.73 = 214.20 : x
  2. Step 2: Convert to fraction form
    305.73/458.73 = 214.20/x
  3. Step 3: Cross multiply
    305.73x = 458.73 × 214.20
  4. Step 4: Simplify right side
    305.73x = 98,259.97
  5. Step 5: Solve for x
    x = 98,259.97/305.73
  6. Step 6: Final answer
    x = 321.39

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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.