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Finding the Fourth Proportional to 395.50, 545.97 and 238.16

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Solution

The fourth proportional to 395.50, 545.97 and 238.16 is: 328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.50 : 545.97 = 238.16 : x
  2. Step 2: Convert to fraction form
    395.50/545.97 = 238.16/x
  3. Step 3: Cross multiply
    395.50x = 545.97 × 238.16
  4. Step 4: Simplify right side
    395.50x = 130,024.29
  5. Step 5: Solve for x
    x = 130,024.29/395.50
  6. Step 6: Final answer
    x = 328.76

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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.