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Finding the Fourth Proportional to 295.91, 443.35 and 270.19

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Solution

The fourth proportional to 295.91, 443.35 and 270.19 is: 404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.91 : 443.35 = 270.19 : x
  2. Step 2: Convert to fraction form
    295.91/443.35 = 270.19/x
  3. Step 3: Cross multiply
    295.91x = 443.35 × 270.19
  4. Step 4: Simplify right side
    295.91x = 119,788.74
  5. Step 5: Solve for x
    x = 119,788.74/295.91
  6. Step 6: Final answer
    x = 404.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.