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Finding the Fourth Proportional to 395.42, 545.87 and 297.21

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Solution

The fourth proportional to 395.42, 545.87 and 297.21 is: 410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.42 : 545.87 = 297.21 : x
  2. Step 2: Convert to fraction form
    395.42/545.87 = 297.21/x
  3. Step 3: Cross multiply
    395.42x = 545.87 × 297.21
  4. Step 4: Simplify right side
    395.42x = 162,236.54
  5. Step 5: Solve for x
    x = 162,236.54/395.42
  6. Step 6: Final answer
    x = 410.29

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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.