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Finding the Fourth Proportional to 300, 447.50 and 295.04

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Solution

The fourth proportional to 300, 447.50 and 295.04 is: 440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 447.50 = 295.04 : x
  2. Step 2: Convert to fraction form
    300/447.50 = 295.04/x
  3. Step 3: Cross multiply
    300x = 447.50 × 295.04
  4. Step 4: Simplify right side
    300x = 132,030.40
  5. Step 5: Solve for x
    x = 132,030.40/300
  6. Step 6: Final answer
    x = 440.10

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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.