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Finding the Fourth Proportional to 295.20, 406.44 and 229.32

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Solution

The fourth proportional to 295.20, 406.44 and 229.32 is: 315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.20 : 406.44 = 229.32 : x
  2. Step 2: Convert to fraction form
    295.20/406.44 = 229.32/x
  3. Step 3: Cross multiply
    295.20x = 406.44 × 229.32
  4. Step 4: Simplify right side
    295.20x = 93,204.82
  5. Step 5: Solve for x
    x = 93,204.82/295.20
  6. Step 6: Final answer
    x = 315.73

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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.