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Finding the Fourth Proportional to 321.59, 443.54 and 210.87

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Solution

The fourth proportional to 321.59, 443.54 and 210.87 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.59 : 443.54 = 210.87 : x
  2. Step 2: Convert to fraction form
    321.59/443.54 = 210.87/x
  3. Step 3: Cross multiply
    321.59x = 443.54 × 210.87
  4. Step 4: Simplify right side
    321.59x = 93,527.06
  5. Step 5: Solve for x
    x = 93,527.06/321.59
  6. Step 6: Final answer
    x = 290.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.