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Finding the Fourth Proportional to 328.69, 493.03 and 184.51

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Solution

The fourth proportional to 328.69, 493.03 and 184.51 is: 276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.69 : 493.03 = 184.51 : x
  2. Step 2: Convert to fraction form
    328.69/493.03 = 184.51/x
  3. Step 3: Cross multiply
    328.69x = 493.03 × 184.51
  4. Step 4: Simplify right side
    328.69x = 90,968.97
  5. Step 5: Solve for x
    x = 90,968.97/328.69
  6. Step 6: Final answer
    x = 276.76

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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.