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Finding the Fourth Proportional to 395.53, 545.95 and 238.27

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Solution

The fourth proportional to 395.53, 545.95 and 238.27 is: 328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.53 : 545.95 = 238.27 : x
  2. Step 2: Convert to fraction form
    395.53/545.95 = 238.27/x
  3. Step 3: Cross multiply
    395.53x = 545.95 × 238.27
  4. Step 4: Simplify right side
    395.53x = 130,083.51
  5. Step 5: Solve for x
    x = 130,083.51/395.53
  6. Step 6: Final answer
    x = 328.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.