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Finding the Fourth Proportional to 295.56, 442.71 and 214.83

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Solution

The fourth proportional to 295.56, 442.71 and 214.83 is: 321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.56 : 442.71 = 214.83 : x
  2. Step 2: Convert to fraction form
    295.56/442.71 = 214.83/x
  3. Step 3: Cross multiply
    295.56x = 442.71 × 214.83
  4. Step 4: Simplify right side
    295.56x = 95,107.39
  5. Step 5: Solve for x
    x = 95,107.39/295.56
  6. Step 6: Final answer
    x = 321.79

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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.