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Finding the Fourth Proportional to 395.37, 545.67 and 296.97

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Solution

The fourth proportional to 395.37, 545.67 and 296.97 is: 409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.37 : 545.67 = 296.97 : x
  2. Step 2: Convert to fraction form
    395.37/545.67 = 296.97/x
  3. Step 3: Cross multiply
    395.37x = 545.67 × 296.97
  4. Step 4: Simplify right side
    395.37x = 162,047.62
  5. Step 5: Solve for x
    x = 162,047.62/395.37
  6. Step 6: Final answer
    x = 409.86

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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.