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Finding the Fourth Proportional to 446.46, 615.99 and 289.14

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Solution

The fourth proportional to 446.46, 615.99 and 289.14 is: 398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.46 : 615.99 = 289.14 : x
  2. Step 2: Convert to fraction form
    446.46/615.99 = 289.14/x
  3. Step 3: Cross multiply
    446.46x = 615.99 × 289.14
  4. Step 4: Simplify right side
    446.46x = 178,107.35
  5. Step 5: Solve for x
    x = 178,107.35/446.46
  6. Step 6: Final answer
    x = 398.93

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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.