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Finding the Fourth Proportional to 395.05, 545.10 and 229.27

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Solution

The fourth proportional to 395.05, 545.10 and 229.27 is: 316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.05 : 545.10 = 229.27 : x
  2. Step 2: Convert to fraction form
    395.05/545.10 = 229.27/x
  3. Step 3: Cross multiply
    395.05x = 545.10 × 229.27
  4. Step 4: Simplify right side
    395.05x = 124,975.08
  5. Step 5: Solve for x
    x = 124,975.08/395.05
  6. Step 6: Final answer
    x = 316.35

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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.