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Finding the Fourth Proportional to 300.32, 447.52 and 288.32

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Solution

The fourth proportional to 300.32, 447.52 and 288.32 is: 429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.32 : 447.52 = 288.32 : x
  2. Step 2: Convert to fraction form
    300.32/447.52 = 288.32/x
  3. Step 3: Cross multiply
    300.32x = 447.52 × 288.32
  4. Step 4: Simplify right side
    300.32x = 129,028.97
  5. Step 5: Solve for x
    x = 129,028.97/300.32
  6. Step 6: Final answer
    x = 429.64

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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.