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Finding the Fourth Proportional to 395.36, 545.50 and 238.02

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Solution

The fourth proportional to 395.36, 545.50 and 238.02 is: 328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.36 : 545.50 = 238.02 : x
  2. Step 2: Convert to fraction form
    395.36/545.50 = 238.02/x
  3. Step 3: Cross multiply
    395.36x = 545.50 × 238.02
  4. Step 4: Simplify right side
    395.36x = 129,839.91
  5. Step 5: Solve for x
    x = 129,839.91/395.36
  6. Step 6: Final answer
    x = 328.41

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Why These Related Problems?

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