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Finding the Fourth Proportional to 294.68, 442.21 and 217.83

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Solution

The fourth proportional to 294.68, 442.21 and 217.83 is: 326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.68 : 442.21 = 217.83 : x
  2. Step 2: Convert to fraction form
    294.68/442.21 = 217.83/x
  3. Step 3: Cross multiply
    294.68x = 442.21 × 217.83
  4. Step 4: Simplify right side
    294.68x = 96,327.71
  5. Step 5: Solve for x
    x = 96,327.71/294.68
  6. Step 6: Final answer
    x = 326.89

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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.