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Finding the Fourth Proportional to 295.92, 444.36 and 204.64

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Solution

The fourth proportional to 295.92, 444.36 and 204.64 is: 307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 444.36 = 204.64 : x
  2. Step 2: Convert to fraction form
    295.92/444.36 = 204.64/x
  3. Step 3: Cross multiply
    295.92x = 444.36 × 204.64
  4. Step 4: Simplify right side
    295.92x = 90,933.83
  5. Step 5: Solve for x
    x = 90,933.83/295.92
  6. Step 6: Final answer
    x = 307.29

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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.