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Finding the Fourth Proportional to 329.32, 492.92 and 175.02

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Solution

The fourth proportional to 329.32, 492.92 and 175.02 is: 261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.32 : 492.92 = 175.02 : x
  2. Step 2: Convert to fraction form
    329.32/492.92 = 175.02/x
  3. Step 3: Cross multiply
    329.32x = 492.92 × 175.02
  4. Step 4: Simplify right side
    329.32x = 86,270.86
  5. Step 5: Solve for x
    x = 86,270.86/329.32
  6. Step 6: Final answer
    x = 261.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.