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Finding the Fourth Proportional to 395.69, 545.23 and 302.43

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Solution

The fourth proportional to 395.69, 545.23 and 302.43 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.69 : 545.23 = 302.43 : x
  2. Step 2: Convert to fraction form
    395.69/545.23 = 302.43/x
  3. Step 3: Cross multiply
    395.69x = 545.23 × 302.43
  4. Step 4: Simplify right side
    395.69x = 164,896.33
  5. Step 5: Solve for x
    x = 164,896.33/395.69
  6. Step 6: Final answer
    x = 416.74

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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.