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Finding the Fourth Proportional to 847.34, 1,271.02 and 327.21

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Solution

The fourth proportional to 847.34, 1,271.02 and 327.21 is: 490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.34 : 1,271.02 = 327.21 : x
  2. Step 2: Convert to fraction form
    847.34/1,271.02 = 327.21/x
  3. Step 3: Cross multiply
    847.34x = 1,271.02 × 327.21
  4. Step 4: Simplify right side
    847.34x = 415,895.29
  5. Step 5: Solve for x
    x = 415,895.29/847.34
  6. Step 6: Final answer
    x = 490.83

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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.