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Finding the Fourth Proportional to 882.91, 1,323.30 and 327.18

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Solution

The fourth proportional to 882.91, 1,323.30 and 327.18 is: 490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.91 : 1,323.30 = 327.18 : x
  2. Step 2: Convert to fraction form
    882.91/1,323.30 = 327.18/x
  3. Step 3: Cross multiply
    882.91x = 1,323.30 × 327.18
  4. Step 4: Simplify right side
    882.91x = 432,957.29
  5. Step 5: Solve for x
    x = 432,957.29/882.91
  6. Step 6: Final answer
    x = 490.38

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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.