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Finding the Fourth Proportional to 327.06, 492.36 and 282.42

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Solution

The fourth proportional to 327.06, 492.36 and 282.42 is: 425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.06 : 492.36 = 282.42 : x
  2. Step 2: Convert to fraction form
    327.06/492.36 = 282.42/x
  3. Step 3: Cross multiply
    327.06x = 492.36 × 282.42
  4. Step 4: Simplify right side
    327.06x = 139,052.31
  5. Step 5: Solve for x
    x = 139,052.31/327.06
  6. Step 6: Final answer
    x = 425.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.