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Finding the Fourth Proportional to 295.66, 441.32 and 271.32

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Solution

The fourth proportional to 295.66, 441.32 and 271.32 is: 404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.66 : 441.32 = 271.32 : x
  2. Step 2: Convert to fraction form
    295.66/441.32 = 271.32/x
  3. Step 3: Cross multiply
    295.66x = 441.32 × 271.32
  4. Step 4: Simplify right side
    295.66x = 119,738.94
  5. Step 5: Solve for x
    x = 119,738.94/295.66
  6. Step 6: Final answer
    x = 404.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.