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Finding the Fourth Proportional to 446.76, 615.96 and 289.12

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Solution

The fourth proportional to 446.76, 615.96 and 289.12 is: 398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.76 : 615.96 = 289.12 : x
  2. Step 2: Convert to fraction form
    446.76/615.96 = 289.12/x
  3. Step 3: Cross multiply
    446.76x = 615.96 × 289.12
  4. Step 4: Simplify right side
    446.76x = 178,084.91
  5. Step 5: Solve for x
    x = 178,084.91/446.76
  6. Step 6: Final answer
    x = 398.62

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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.