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Finding the Fourth Proportional to 395.12, 545.68 and 300.44

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Solution

The fourth proportional to 395.12, 545.68 and 300.44 is: 414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.12 : 545.68 = 300.44 : x
  2. Step 2: Convert to fraction form
    395.12/545.68 = 300.44/x
  3. Step 3: Cross multiply
    395.12x = 545.68 × 300.44
  4. Step 4: Simplify right side
    395.12x = 163,944.10
  5. Step 5: Solve for x
    x = 163,944.10/395.12
  6. Step 6: Final answer
    x = 414.92

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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.